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Simplifying 8x * x = 30 + 43x Multiply x * x 8x2 = 30 + 43x Solving 8x2 = 30 + 43x Solving for variable 'x'. Reorder the terms: -30 + -43x + 8x2 = 30 + 43x + -30 + -43x Reorder the terms: -30 + -43x + 8x2 = 30 + -30 + 43x + -43x Combine like terms: 30 + -30 = 0 -30 + -43x + 8x2 = 0 + 43x + -43x -30 + -43x + 8x2 = 43x + -43x Combine like terms: 43x + -43x = 0 -30 + -43x + 8x2 = 0 Factor a trinomial. (-5 + -8x)(6 + -1x) = 0Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve: Simplifying -5 + -8x = 0 Solving -5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625Subproblem 2
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 = 6Solution
x = {-0.625, 6}
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