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Simplifying 10x + 2 = 15x2 + 3x Reorder the terms: 2 + 10x = 15x2 + 3x Reorder the terms: 2 + 10x = 3x + 15x2 Solving 2 + 10x = 3x + 15x2 Solving for variable 'x'. Combine like terms: 10x + -3x = 7x 2 + 7x + -15x2 = 3x + 15x2 + -3x + -15x2 Reorder the terms: 2 + 7x + -15x2 = 3x + -3x + 15x2 + -15x2 Combine like terms: 3x + -3x = 0 2 + 7x + -15x2 = 0 + 15x2 + -15x2 2 + 7x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 2 + 7x + -15x2 = 0 Factor a trinomial. (2 + -3x)(1 + 5x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 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 = {0.6666666667, -0.2}
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