8(x+3)-15=(x+3)(x+3)

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Solution for 8(x+3)-15=(x+3)(x+3) equation:


Simplifying
8(x + 3) + -15 = (x + 3)(x + 3)

Reorder the terms:
8(3 + x) + -15 = (x + 3)(x + 3)
(3 * 8 + x * 8) + -15 = (x + 3)(x + 3)
(24 + 8x) + -15 = (x + 3)(x + 3)

Reorder the terms:
24 + -15 + 8x = (x + 3)(x + 3)

Combine like terms: 24 + -15 = 9
9 + 8x = (x + 3)(x + 3)

Reorder the terms:
9 + 8x = (3 + x)(x + 3)

Reorder the terms:
9 + 8x = (3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
9 + 8x = (3(3 + x) + x(3 + x))
9 + 8x = ((3 * 3 + x * 3) + x(3 + x))
9 + 8x = ((9 + 3x) + x(3 + x))
9 + 8x = (9 + 3x + (3 * x + x * x))
9 + 8x = (9 + 3x + (3x + x2))

Combine like terms: 3x + 3x = 6x
9 + 8x = (9 + 6x + x2)

Add '-9' to each side of the equation.
9 + -9 + 8x = 9 + 6x + -9 + x2

Combine like terms: 9 + -9 = 0
0 + 8x = 9 + 6x + -9 + x2
8x = 9 + 6x + -9 + x2

Reorder the terms:
8x = 9 + -9 + 6x + x2

Combine like terms: 9 + -9 = 0
8x = 0 + 6x + x2
8x = 6x + x2

Solving
8x = 6x + x2

Solving for variable 'x'.

Combine like terms: 8x + -6x = 2x
2x + -1x2 = 6x + x2 + -6x + -1x2

Reorder the terms:
2x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
2x + -1x2 = 0 + x2 + -1x2
2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -1x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, 2}

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