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Simplifying 10x2 = 39x + 27 Reorder the terms: 10x2 = 27 + 39x Solving 10x2 = 27 + 39x Solving for variable 'x'. Reorder the terms: -27 + -39x + 10x2 = 27 + 39x + -27 + -39x Reorder the terms: -27 + -39x + 10x2 = 27 + -27 + 39x + -39x Combine like terms: 27 + -27 = 0 -27 + -39x + 10x2 = 0 + 39x + -39x -27 + -39x + 10x2 = 39x + -39x Combine like terms: 39x + -39x = 0 -27 + -39x + 10x2 = 0 Factor a trinomial. (-3 + -5x)(9 + -2x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-0.6, 4.5}
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