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Simplifying x(7x + 4) = 2x2 + -7x + 36 Reorder the terms: x(4 + 7x) = 2x2 + -7x + 36 (4 * x + 7x * x) = 2x2 + -7x + 36 (4x + 7x2) = 2x2 + -7x + 36 Reorder the terms: 4x + 7x2 = 36 + -7x + 2x2 Solving 4x + 7x2 = 36 + -7x + 2x2 Solving for variable 'x'. Reorder the terms: -36 + 4x + 7x + 7x2 + -2x2 = 36 + -7x + 2x2 + -36 + 7x + -2x2 Combine like terms: 4x + 7x = 11x -36 + 11x + 7x2 + -2x2 = 36 + -7x + 2x2 + -36 + 7x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 -36 + 11x + 5x2 = 36 + -7x + 2x2 + -36 + 7x + -2x2 Reorder the terms: -36 + 11x + 5x2 = 36 + -36 + -7x + 7x + 2x2 + -2x2 Combine like terms: 36 + -36 = 0 -36 + 11x + 5x2 = 0 + -7x + 7x + 2x2 + -2x2 -36 + 11x + 5x2 = -7x + 7x + 2x2 + -2x2 Combine like terms: -7x + 7x = 0 -36 + 11x + 5x2 = 0 + 2x2 + -2x2 -36 + 11x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -36 + 11x + 5x2 = 0 Factor a trinomial. (-4 + -1x)(9 + -5x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-4, 1.8}
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