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Simplifying 8x = -15x2 + -1 Reorder the terms: 8x = -1 + -15x2 Solving 8x = -1 + -15x2 Solving for variable 'x'. Reorder the terms: 1 + 8x + 15x2 = -1 + -15x2 + 1 + 15x2 Reorder the terms: 1 + 8x + 15x2 = -1 + 1 + -15x2 + 15x2 Combine like terms: -1 + 1 = 0 1 + 8x + 15x2 = 0 + -15x2 + 15x2 1 + 8x + 15x2 = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 1 + 8x + 15x2 = 0 Factor a trinomial. (1 + 3x)(1 + 5x) = 0Subproblem 1
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 = -0.3333333333Subproblem 2
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 = -0.2Solution
x = {-0.3333333333, -0.2}
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