x^2-4x-32=0
solve by factoring
In google type:
quadratic equation online
When you see list of results click on:
Free Online Quadratic Equation Solver:Solve by Quadratic Formula
When page be open click option :
Solve by Completing the Square
Then in rectangle type:
x^2-4x-32=0
and click option: solve it
You will see solution step-by step
answer: (x-8) (x+4) because -8+4=-4 and -8x4=-32
To solve the quadratic equation x^2 - 4x - 32 = 0 by factoring, follow these steps:
Step 1: Set the equation equal to zero: x^2 - 4x - 32 = 0.
Step 2: Try to factor the quadratic expression x^2 - 4x - 32.
To factor, find two numbers whose product is -32 and whose sum is -4. These numbers are -8 and 4, because (-8) * 4 = -32 and (-8) + 4 = -4.
Step 3: Rewrite the terms using the two numbers found in the previous step:
x^2 - 8x + 4x - 32 = 0
Step 4: Group the terms:
(x^2 - 8x) + (4x - 32) = 0
Step 5: Factor out the common factors in each group:
x(x - 8) + 4(x - 8) = 0
Step 6: Notice that (x - 8) appears in both terms. Factor it out:
(x + 4)(x - 8) = 0
Step 7: Set each factor to zero and solve for x:
x + 4 = 0 or x - 8 = 0
Solving the first equation: x + 4 = 0, subtract 4 from both sides:
x = -4
Solving the second equation: x - 8 = 0, add 8 to both sides:
x = 8
Step 8: The solutions to the quadratic equation are x = -4 and x = 8.
Therefore, the solutions to the equation x^2 - 4x - 32 = 0 are x = -4 and x = 8.