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Simplifying x2 + 8x + 16 = -3x2 + 6x + 436 Reorder the terms: 16 + 8x + x2 = -3x2 + 6x + 436 Reorder the terms: 16 + 8x + x2 = 436 + 6x + -3x2 Solving 16 + 8x + x2 = 436 + 6x + -3x2 Solving for variable 'x'. Reorder the terms: 16 + -436 + 8x + -6x + x2 + 3x2 = 436 + 6x + -3x2 + -436 + -6x + 3x2 Combine like terms: 16 + -436 = -420 -420 + 8x + -6x + x2 + 3x2 = 436 + 6x + -3x2 + -436 + -6x + 3x2 Combine like terms: 8x + -6x = 2x -420 + 2x + x2 + 3x2 = 436 + 6x + -3x2 + -436 + -6x + 3x2 Combine like terms: x2 + 3x2 = 4x2 -420 + 2x + 4x2 = 436 + 6x + -3x2 + -436 + -6x + 3x2 Reorder the terms: -420 + 2x + 4x2 = 436 + -436 + 6x + -6x + -3x2 + 3x2 Combine like terms: 436 + -436 = 0 -420 + 2x + 4x2 = 0 + 6x + -6x + -3x2 + 3x2 -420 + 2x + 4x2 = 6x + -6x + -3x2 + 3x2 Combine like terms: 6x + -6x = 0 -420 + 2x + 4x2 = 0 + -3x2 + 3x2 -420 + 2x + 4x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -420 + 2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-210 + x + 2x2) = 0 Factor a trinomial. 2((-21 + -2x)(10 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + -2x)' equal to zero and attempt to solve: Simplifying -21 + -2x = 0 Solving -21 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 0 + 21 -2x = 0 + 21 Combine like terms: 0 + 21 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5Subproblem 2
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 = 10Solution
x = {-10.5, 10}
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