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Simplifying 0 = (-16x2 + 64x + 336) Reorder the terms: 0 = (336 + 64x + -16x2) Remove parenthesis around (336 + 64x + -16x2) 0 = 336 + 64x + -16x2 Solving 0 = 336 + 64x + -16x2 Solving for variable 'x'. Combine like terms: 0 + -336 = -336 -336 + -64x + 16x2 = 336 + 64x + -16x2 + -336 + -64x + 16x2 Reorder the terms: -336 + -64x + 16x2 = 336 + -336 + 64x + -64x + -16x2 + 16x2 Combine like terms: 336 + -336 = 0 -336 + -64x + 16x2 = 0 + 64x + -64x + -16x2 + 16x2 -336 + -64x + 16x2 = 64x + -64x + -16x2 + 16x2 Combine like terms: 64x + -64x = 0 -336 + -64x + 16x2 = 0 + -16x2 + 16x2 -336 + -64x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -336 + -64x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-21 + -4x + x2) = 0 Factor a trinomial. 16((-3 + -1x)(7 + -1x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-3, 7}
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