=(6x+8)(x+8)

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Solution for =(6x+8)(x+8) equation:


Simplifying
0 = (6x + 8)(x + 8)

Reorder the terms:
0 = (8 + 6x)(x + 8)

Reorder the terms:
0 = (8 + 6x)(8 + x)

Multiply (8 + 6x) * (8 + x)
0 = (8(8 + x) + 6x * (8 + x))
0 = ((8 * 8 + x * 8) + 6x * (8 + x))
0 = ((64 + 8x) + 6x * (8 + x))
0 = (64 + 8x + (8 * 6x + x * 6x))
0 = (64 + 8x + (48x + 6x2))

Combine like terms: 8x + 48x = 56x
0 = (64 + 56x + 6x2)

Solving
0 = 64 + 56x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + -64 = -64
-64 + -56x + -6x2 = 64 + 56x + 6x2 + -64 + -56x + -6x2

Reorder the terms:
-64 + -56x + -6x2 = 64 + -64 + 56x + -56x + 6x2 + -6x2

Combine like terms: 64 + -64 = 0
-64 + -56x + -6x2 = 0 + 56x + -56x + 6x2 + -6x2
-64 + -56x + -6x2 = 56x + -56x + 6x2 + -6x2

Combine like terms: 56x + -56x = 0
-64 + -56x + -6x2 = 0 + 6x2 + -6x2
-64 + -56x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-64 + -56x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(32 + 28x + 3x2) = 0

Factor a trinomial.
-2((8 + x)(4 + 3x)) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Solution

x = {-8, -1.333333333}

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