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Simplifying 14x2 + 3x + -8 = -1x2 + 4x + -6 Reorder the terms: -8 + 3x + 14x2 = -1x2 + 4x + -6 Reorder the terms: -8 + 3x + 14x2 = -6 + 4x + -1x2 Solving -8 + 3x + 14x2 = -6 + 4x + -1x2 Solving for variable 'x'. Reorder the terms: -8 + 6 + 3x + -4x + 14x2 + x2 = -6 + 4x + -1x2 + 6 + -4x + x2 Combine like terms: -8 + 6 = -2 -2 + 3x + -4x + 14x2 + x2 = -6 + 4x + -1x2 + 6 + -4x + x2 Combine like terms: 3x + -4x = -1x -2 + -1x + 14x2 + x2 = -6 + 4x + -1x2 + 6 + -4x + x2 Combine like terms: 14x2 + x2 = 15x2 -2 + -1x + 15x2 = -6 + 4x + -1x2 + 6 + -4x + x2 Reorder the terms: -2 + -1x + 15x2 = -6 + 6 + 4x + -4x + -1x2 + x2 Combine like terms: -6 + 6 = 0 -2 + -1x + 15x2 = 0 + 4x + -4x + -1x2 + x2 -2 + -1x + 15x2 = 4x + -4x + -1x2 + x2 Combine like terms: 4x + -4x = 0 -2 + -1x + 15x2 = 0 + -1x2 + x2 -2 + -1x + 15x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -2 + -1x + 15x2 = 0 Factor a trinomial. (-1 + -3x)(2 + -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 '(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 = {-0.3333333333, 0.4}
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