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Simplifying 5x2 + 20x + -5 = 7 + -8x Reorder the terms: -5 + 20x + 5x2 = 7 + -8x Solving -5 + 20x + 5x2 = 7 + -8x Solving for variable 'x'. Reorder the terms: -5 + -7 + 20x + 8x + 5x2 = 7 + -8x + -7 + 8x Combine like terms: -5 + -7 = -12 -12 + 20x + 8x + 5x2 = 7 + -8x + -7 + 8x Combine like terms: 20x + 8x = 28x -12 + 28x + 5x2 = 7 + -8x + -7 + 8x Reorder the terms: -12 + 28x + 5x2 = 7 + -7 + -8x + 8x Combine like terms: 7 + -7 = 0 -12 + 28x + 5x2 = 0 + -8x + 8x -12 + 28x + 5x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 28x + 5x2 = 0 Factor a trinomial. (-6 + -1x)(2 + -5x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 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 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
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 = 0.4Solution
x = {-6, 0.4}
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