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Simplifying 10x2 + 20 = 43x + -8 Reorder the terms: 20 + 10x2 = 43x + -8 Reorder the terms: 20 + 10x2 = -8 + 43x Solving 20 + 10x2 = -8 + 43x Solving for variable 'x'. Reorder the terms: 20 + 8 + -43x + 10x2 = -8 + 43x + 8 + -43x Combine like terms: 20 + 8 = 28 28 + -43x + 10x2 = -8 + 43x + 8 + -43x Reorder the terms: 28 + -43x + 10x2 = -8 + 8 + 43x + -43x Combine like terms: -8 + 8 = 0 28 + -43x + 10x2 = 0 + 43x + -43x 28 + -43x + 10x2 = 43x + -43x Combine like terms: 43x + -43x = 0 28 + -43x + 10x2 = 0 Factor a trinomial. (4 + -5x)(7 + -2x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {0.8, 3.5}
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