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Simplifying 3x2 + -26x + 12 = x(8x + 2) Reorder the terms: 12 + -26x + 3x2 = x(8x + 2) Reorder the terms: 12 + -26x + 3x2 = x(2 + 8x) 12 + -26x + 3x2 = (2 * x + 8x * x) 12 + -26x + 3x2 = (2x + 8x2) Solving 12 + -26x + 3x2 = 2x + 8x2 Solving for variable 'x'. Reorder the terms: 12 + -26x + -2x + 3x2 + -8x2 = 2x + 8x2 + -2x + -8x2 Combine like terms: -26x + -2x = -28x 12 + -28x + 3x2 + -8x2 = 2x + 8x2 + -2x + -8x2 Combine like terms: 3x2 + -8x2 = -5x2 12 + -28x + -5x2 = 2x + 8x2 + -2x + -8x2 Reorder the terms: 12 + -28x + -5x2 = 2x + -2x + 8x2 + -8x2 Combine like terms: 2x + -2x = 0 12 + -28x + -5x2 = 0 + 8x2 + -8x2 12 + -28x + -5x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 12 + -28x + -5x2 = 0 Factor a trinomial. (2 + -5x)(6 + x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0.4, -6}
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