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Simplifying 15x2 + 4x + -9 = -5 Reorder the terms: -9 + 4x + 15x2 = -5 Solving -9 + 4x + 15x2 = -5 Solving for variable 'x'. Reorder the terms: -9 + 5 + 4x + 15x2 = -5 + 5 Combine like terms: -9 + 5 = -4 -4 + 4x + 15x2 = -5 + 5 Combine like terms: -5 + 5 = 0 -4 + 4x + 15x2 = 0 Factor a trinomial. (-2 + -3x)(2 + -5x) = 0Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-0.6666666667, 0.4}
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