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Simplifying 15x2 + -1x + -10 = 18 Reorder the terms: -10 + -1x + 15x2 = 18 Solving -10 + -1x + 15x2 = 18 Solving for variable 'x'. Reorder the terms: -10 + -18 + -1x + 15x2 = 18 + -18 Combine like terms: -10 + -18 = -28 -28 + -1x + 15x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -28 + -1x + 15x2 = 0 Factor a trinomial. (-4 + -3x)(7 + -5x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-1.333333333, 1.4}
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