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Simplifying 15x2 + -2x + -7 = -6 Reorder the terms: -7 + -2x + 15x2 = -6 Solving -7 + -2x + 15x2 = -6 Solving for variable 'x'. Reorder the terms: -7 + 6 + -2x + 15x2 = -6 + 6 Combine like terms: -7 + 6 = -1 -1 + -2x + 15x2 = -6 + 6 Combine like terms: -6 + 6 = 0 -1 + -2x + 15x2 = 0 Factor a trinomial. (-1 + -5x)(1 + -3x) = 0Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {-0.2, 0.3333333333}
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