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Simplifying 4x2 + -29x = -3x2 + -4x + -12 Reorder the terms: -29x + 4x2 = -3x2 + -4x + -12 Reorder the terms: -29x + 4x2 = -12 + -4x + -3x2 Solving -29x + 4x2 = -12 + -4x + -3x2 Solving for variable 'x'. Reorder the terms: 12 + -29x + 4x + 4x2 + 3x2 = -12 + -4x + -3x2 + 12 + 4x + 3x2 Combine like terms: -29x + 4x = -25x 12 + -25x + 4x2 + 3x2 = -12 + -4x + -3x2 + 12 + 4x + 3x2 Combine like terms: 4x2 + 3x2 = 7x2 12 + -25x + 7x2 = -12 + -4x + -3x2 + 12 + 4x + 3x2 Reorder the terms: 12 + -25x + 7x2 = -12 + 12 + -4x + 4x + -3x2 + 3x2 Combine like terms: -12 + 12 = 0 12 + -25x + 7x2 = 0 + -4x + 4x + -3x2 + 3x2 12 + -25x + 7x2 = -4x + 4x + -3x2 + 3x2 Combine like terms: -4x + 4x = 0 12 + -25x + 7x2 = 0 + -3x2 + 3x2 12 + -25x + 7x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 12 + -25x + 7x2 = 0 Factor a trinomial. (4 + -7x)(3 + -1x) = 0Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Subproblem 2
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 = 3Solution
x = {0.5714285714, 3}
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