How do you work these problems?
8x-7=15+19x
7.6x-3.5x=-65.6
-7x-23=-25 1/3
Step one: combine like-term - put all the x on one side and all the whole number on the other side by addition/subtraction.
Step two: get x on one side by division/multiplication.
Ex:
3x+5=2x-3
Subtract 2x and -5 on each side of the equation
3x-2x + 5-5 = 2x-2x - 3-5
x = -8
f(x)=6x^3+19x^2+8x-5
find all the zeros of the given function.
To work these problems, we need to solve for the variable x. Here's how you can approach each equation:
Equation 1: 8x - 7 = 15 + 19x
Step 1: Collect like terms. Move all terms containing x to one side and the constant terms to the other side of the equation.
8x - 19x = 15 + 7
Step 2: Simplify the equation.
-11x = 22
Step 3: Isolate the variable x by dividing both sides of the equation by the coefficient of x (-11).
x = 22 / -11
x = -2
So, the solution to the equation is x = -2.
Equation 2: 7.6x - 3.5x = -65.6
Step 1: Collect like terms. Combine the terms containing x.
(7.6 - 3.5) x = -65.6
Step 2: Simplify the equation using the subtraction between coefficients.
4.1x = -65.6
Step 3: Isolate the variable x by dividing both sides of the equation by the coefficient of x (4.1).
x = -65.6 / 4.1
x = -16
Therefore, the solution to the equation is x = -16.
Equation 3: -7x - 23 = -25 1/3
Step 1: Convert the fraction on the right side into a single fraction.
-7x - 23 = -76/3
Step 2: Simplify the equation.
-7x = -76/3 + 23
Step 3: Find a common denominator to add the fractions.
-7x = -(76 + 69) / 3
-7x = -145 / 3
Step 4: Isolate the variable x by dividing both sides of the equation by the coefficient of x (-7).
x = -145 / (3 * -7)
x = 145/21
So, the solution to the equation is x = 145/21.