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Simplifying 2 = 15x2 + x Reorder the terms: 2 = x + 15x2 Solving 2 = x + 15x2 Solving for variable 'x'. Reorder the terms: 2 + -1x + -15x2 = x + -1x + 15x2 + -15x2 Combine like terms: x + -1x = 0 2 + -1x + -15x2 = 0 + 15x2 + -15x2 2 + -1x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 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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