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Simplifying 10x + -5x2 + -15 = 4x2 + 4x + -14 Reorder the terms: -15 + 10x + -5x2 = 4x2 + 4x + -14 Reorder the terms: -15 + 10x + -5x2 = -14 + 4x + 4x2 Solving -15 + 10x + -5x2 = -14 + 4x + 4x2 Solving for variable 'x'. Reorder the terms: -15 + 14 + 10x + -4x + -5x2 + -4x2 = -14 + 4x + 4x2 + 14 + -4x + -4x2 Combine like terms: -15 + 14 = -1 -1 + 10x + -4x + -5x2 + -4x2 = -14 + 4x + 4x2 + 14 + -4x + -4x2 Combine like terms: 10x + -4x = 6x -1 + 6x + -5x2 + -4x2 = -14 + 4x + 4x2 + 14 + -4x + -4x2 Combine like terms: -5x2 + -4x2 = -9x2 -1 + 6x + -9x2 = -14 + 4x + 4x2 + 14 + -4x + -4x2 Reorder the terms: -1 + 6x + -9x2 = -14 + 14 + 4x + -4x + 4x2 + -4x2 Combine like terms: -14 + 14 = 0 -1 + 6x + -9x2 = 0 + 4x + -4x + 4x2 + -4x2 -1 + 6x + -9x2 = 4x + -4x + 4x2 + -4x2 Combine like terms: 4x + -4x = 0 -1 + 6x + -9x2 = 0 + 4x2 + -4x2 -1 + 6x + -9x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1 + 6x + -9x2 = 0 Factor a trinomial. (-1 + 3x)(1 + -3x) = 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 + -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 = {0.3333333333, 0.3333333333}
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