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Simplifying 4x2 + -25x = -3x2 + -2x + -6 Reorder the terms: -25x + 4x2 = -3x2 + -2x + -6 Reorder the terms: -25x + 4x2 = -6 + -2x + -3x2 Solving -25x + 4x2 = -6 + -2x + -3x2 Solving for variable 'x'. Reorder the terms: 6 + -25x + 2x + 4x2 + 3x2 = -6 + -2x + -3x2 + 6 + 2x + 3x2 Combine like terms: -25x + 2x = -23x 6 + -23x + 4x2 + 3x2 = -6 + -2x + -3x2 + 6 + 2x + 3x2 Combine like terms: 4x2 + 3x2 = 7x2 6 + -23x + 7x2 = -6 + -2x + -3x2 + 6 + 2x + 3x2 Reorder the terms: 6 + -23x + 7x2 = -6 + 6 + -2x + 2x + -3x2 + 3x2 Combine like terms: -6 + 6 = 0 6 + -23x + 7x2 = 0 + -2x + 2x + -3x2 + 3x2 6 + -23x + 7x2 = -2x + 2x + -3x2 + 3x2 Combine like terms: -2x + 2x = 0 6 + -23x + 7x2 = 0 + -3x2 + 3x2 6 + -23x + 7x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 6 + -23x + 7x2 = 0 Factor a trinomial. (2 + -7x)(3 + -1x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 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 = {0.2857142857, 3}
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