324=(x+8)(x+8)

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Solution for 324=(x+8)(x+8) equation:


Simplifying
324 = (x + 8)(x + 8)

Reorder the terms:
324 = (8 + x)(x + 8)

Reorder the terms:
324 = (8 + x)(8 + x)

Multiply (8 + x) * (8 + x)
324 = (8(8 + x) + x(8 + x))
324 = ((8 * 8 + x * 8) + x(8 + x))
324 = ((64 + 8x) + x(8 + x))
324 = (64 + 8x + (8 * x + x * x))
324 = (64 + 8x + (8x + x2))

Combine like terms: 8x + 8x = 16x
324 = (64 + 16x + x2)

Solving
324 = 64 + 16x + x2

Solving for variable 'x'.

Combine like terms: 324 + -64 = 260
260 + -16x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2

Reorder the terms:
260 + -16x + -1x2 = 64 + -64 + 16x + -16x + x2 + -1x2

Combine like terms: 64 + -64 = 0
260 + -16x + -1x2 = 0 + 16x + -16x + x2 + -1x2
260 + -16x + -1x2 = 16x + -16x + x2 + -1x2

Combine like terms: 16x + -16x = 0
260 + -16x + -1x2 = 0 + x2 + -1x2
260 + -16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
260 + -16x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(26 + x) = 0


Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(26 + x)' equal to zero and attempt to solve:

Simplifying
26 + x = 0

Solving
26 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-26' to each side of the equation.
26 + -26 + x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + x = 0 + -26
x = 0 + -26

Combine like terms: 0 + -26 = -26
x = -26

Simplifying
x = -26
Solution
x = {10, -26}

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