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Simplifying 3x2 + 52x + -256 = 0 Reorder the terms: -256 + 52x + 3x2 = 0 Solving -256 + 52x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-64 + -3x)(4 + -1x) = 0Subproblem 1
Set the factor '(-64 + -3x)' equal to zero and attempt to solve: Simplifying -64 + -3x = 0 Solving -64 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -3x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -3x = 0 + 64 -3x = 0 + 64 Combine like terms: 0 + 64 = 64 -3x = 64 Divide each side by '-3'. x = -21.33333333 Simplifying x = -21.33333333Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-21.33333333, 4}
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