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Simplifying 5x2 + 30x + 14 = 2 + -2x Reorder the terms: 14 + 30x + 5x2 = 2 + -2x Solving 14 + 30x + 5x2 = 2 + -2x Solving for variable 'x'. Reorder the terms: 14 + -2 + 30x + 2x + 5x2 = 2 + -2x + -2 + 2x Combine like terms: 14 + -2 = 12 12 + 30x + 2x + 5x2 = 2 + -2x + -2 + 2x Combine like terms: 30x + 2x = 32x 12 + 32x + 5x2 = 2 + -2x + -2 + 2x Reorder the terms: 12 + 32x + 5x2 = 2 + -2 + -2x + 2x Combine like terms: 2 + -2 = 0 12 + 32x + 5x2 = 0 + -2x + 2x 12 + 32x + 5x2 = -2x + 2x Combine like terms: -2x + 2x = 0 12 + 32x + 5x2 = 0 Factor a trinomial. (6 + x)(2 + 5x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -0.4}
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