(x+3)(x+3)-25=0

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Solution for (x+3)(x+3)-25=0 equation:


Simplifying
(x + 3)(x + 3) + -25 = 0

Reorder the terms:
(3 + x)(x + 3) + -25 = 0

Reorder the terms:
(3 + x)(3 + x) + -25 = 0

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) + -25 = 0
((3 * 3 + x * 3) + x(3 + x)) + -25 = 0
((9 + 3x) + x(3 + x)) + -25 = 0
(9 + 3x + (3 * x + x * x)) + -25 = 0
(9 + 3x + (3x + x2)) + -25 = 0

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) + -25 = 0

Reorder the terms:
9 + -25 + 6x + x2 = 0

Combine like terms: 9 + -25 = -16
-16 + 6x + x2 = 0

Solving
-16 + 6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-8, 2}

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