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Simplifying 5x2 + 16x = 4x2 + -64 Reorder the terms: 16x + 5x2 = 4x2 + -64 Reorder the terms: 16x + 5x2 = -64 + 4x2 Solving 16x + 5x2 = -64 + 4x2 Solving for variable 'x'. Reorder the terms: 64 + 16x + 5x2 + -4x2 = -64 + 4x2 + 64 + -4x2 Combine like terms: 5x2 + -4x2 = 1x2 64 + 16x + 1x2 = -64 + 4x2 + 64 + -4x2 Reorder the terms: 64 + 16x + 1x2 = -64 + 64 + 4x2 + -4x2 Combine like terms: -64 + 64 = 0 64 + 16x + 1x2 = 0 + 4x2 + -4x2 64 + 16x + 1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 64 + 16x + 1x2 = 0 Factor a trinomial. (8 + x)(8 + x) = 0Subproblem 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 = -8Subproblem 2
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 = -8Solution
x = {-8, -8}
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