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Simplifying 4x2 + -16x = 16x + -39 Reorder the terms: -16x + 4x2 = 16x + -39 Reorder the terms: -16x + 4x2 = -39 + 16x Solving -16x + 4x2 = -39 + 16x Solving for variable 'x'. Reorder the terms: 39 + -16x + -16x + 4x2 = -39 + 16x + 39 + -16x Combine like terms: -16x + -16x = -32x 39 + -32x + 4x2 = -39 + 16x + 39 + -16x Reorder the terms: 39 + -32x + 4x2 = -39 + 39 + 16x + -16x Combine like terms: -39 + 39 = 0 39 + -32x + 4x2 = 0 + 16x + -16x 39 + -32x + 4x2 = 16x + -16x Combine like terms: 16x + -16x = 0 39 + -32x + 4x2 = 0 Factor a trinomial. (3 + -2x)(13 + -2x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Solution
x = {1.5, 6.5}
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