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Simplifying 15x2 + 11x + -63 = -7 Reorder the terms: -63 + 11x + 15x2 = -7 Solving -63 + 11x + 15x2 = -7 Solving for variable 'x'. Reorder the terms: -63 + 7 + 11x + 15x2 = -7 + 7 Combine like terms: -63 + 7 = -56 -56 + 11x + 15x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -56 + 11x + 15x2 = 0 Factor a trinomial. (-7 + -3x)(8 + -5x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {-2.333333333, 1.6}
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