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Simplifying -13x2 + -9x + 4 = 5 + 2x2 + -1x Reorder the terms: 4 + -9x + -13x2 = 5 + 2x2 + -1x Reorder the terms: 4 + -9x + -13x2 = 5 + -1x + 2x2 Solving 4 + -9x + -13x2 = 5 + -1x + 2x2 Solving for variable 'x'. Reorder the terms: 4 + -5 + -9x + x + -13x2 + -2x2 = 5 + -1x + 2x2 + -5 + x + -2x2 Combine like terms: 4 + -5 = -1 -1 + -9x + x + -13x2 + -2x2 = 5 + -1x + 2x2 + -5 + x + -2x2 Combine like terms: -9x + x = -8x -1 + -8x + -13x2 + -2x2 = 5 + -1x + 2x2 + -5 + x + -2x2 Combine like terms: -13x2 + -2x2 = -15x2 -1 + -8x + -15x2 = 5 + -1x + 2x2 + -5 + x + -2x2 Reorder the terms: -1 + -8x + -15x2 = 5 + -5 + -1x + x + 2x2 + -2x2 Combine like terms: 5 + -5 = 0 -1 + -8x + -15x2 = 0 + -1x + x + 2x2 + -2x2 -1 + -8x + -15x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 -1 + -8x + -15x2 = 0 + 2x2 + -2x2 -1 + -8x + -15x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1 + -8x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 8x + 15x2) = 0 Factor a trinomial. -1((1 + 3x)(1 + 5x)) = 0 Ignore the factor -1.Subproblem 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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