=(3x+8)(3x+8)

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


Simplifying
0 = (3x + 8)(3x + 8)

Reorder the terms:
0 = (8 + 3x)(3x + 8)

Reorder the terms:
0 = (8 + 3x)(8 + 3x)

Multiply (8 + 3x) * (8 + 3x)
0 = (8(8 + 3x) + 3x * (8 + 3x))
0 = ((8 * 8 + 3x * 8) + 3x * (8 + 3x))
0 = ((64 + 24x) + 3x * (8 + 3x))
0 = (64 + 24x + (8 * 3x + 3x * 3x))
0 = (64 + 24x + (24x + 9x2))

Combine like terms: 24x + 24x = 48x
0 = (64 + 48x + 9x2)

Solving
0 = 64 + 48x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -64 = -64
-64 + -48x + -9x2 = 64 + 48x + 9x2 + -64 + -48x + -9x2

Reorder the terms:
-64 + -48x + -9x2 = 64 + -64 + 48x + -48x + 9x2 + -9x2

Combine like terms: 64 + -64 = 0
-64 + -48x + -9x2 = 0 + 48x + -48x + 9x2 + -9x2
-64 + -48x + -9x2 = 48x + -48x + 9x2 + -9x2

Combine like terms: 48x + -48x = 0
-64 + -48x + -9x2 = 0 + 9x2 + -9x2
-64 + -48x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-64 + -48x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(64 + 48x + 9x2) = 0

Factor a trinomial.
-1((8 + 3x)(8 + 3x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 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 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667

Subproblem 2

Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 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 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667

Solution

x = {-2.666666667, -2.666666667}

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