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Simplifying 6x2 = 40 + x Solving 6x2 = 40 + x Solving for variable 'x'. Reorder the terms: -40 + -1x + 6x2 = 40 + x + -40 + -1x Reorder the terms: -40 + -1x + 6x2 = 40 + -40 + x + -1x Combine like terms: 40 + -40 = 0 -40 + -1x + 6x2 = 0 + x + -1x -40 + -1x + 6x2 = x + -1x Combine like terms: x + -1x = 0 -40 + -1x + 6x2 = 0 Factor a trinomial. (-5 + -2x)(8 + -3x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-2.5, 2.666666667}
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