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Simplifying 12x2 + -285 + -38x + 90x = 0 Reorder the terms: -285 + -38x + 90x + 12x2 = 0 Combine like terms: -38x + 90x = 52x -285 + 52x + 12x2 = 0 Solving -285 + 52x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -2x)(19 + -6x) = 0Subproblem 1
Set the factor '(-15 + -2x)' equal to zero and attempt to solve: Simplifying -15 + -2x = 0 Solving -15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 0 + 15 -2x = 0 + 15 Combine like terms: 0 + 15 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5Subproblem 2
Set the factor '(19 + -6x)' equal to zero and attempt to solve: Simplifying 19 + -6x = 0 Solving 19 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -6x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = 0 + -19 -6x = 0 + -19 Combine like terms: 0 + -19 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667Solution
x = {-7.5, 3.166666667}
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