solve (x+2)(all squared) - (1-x)(all squared) = -5
To solve the equation (x+2)^2 - (1-x)^2 = -5, we can follow these steps:
Step 1: Expand the squared terms on both sides of the equation.
(x+2)(x+2) - (1-x)(1-x) = -5
Step 2: Simplify the expanded terms in the equation.
(x^2 + 4x + 4) - (1 - 2x + x^2) = -5
Step 3: Remove the parentheses and combine like terms.
x^2 + 4x + 4 - 1 + 2x - x^2 = -5
Simplifying further, we get:
6x + 3 = -5
Step 4: Isolate the variable term by moving the constant term to the other side of the equation.
6x = -5 - 3
6x = -8
Step 5: Solve for x by dividing both sides of the equation by the coefficient of x.
x = -8/6
x = -4/3
Therefore, the solution to the given equation is x = -4/3.