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Simplifying 27x2 + 43x + 12 = -8x2 Reorder the terms: 12 + 43x + 27x2 = -8x2 Solving 12 + 43x + 27x2 = -8x2 Solving for variable 'x'. Combine like terms: 27x2 + 8x2 = 35x2 12 + 43x + 35x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 12 + 43x + 35x2 = 0 Factor a trinomial. (4 + 5x)(3 + 7x) = 0Subproblem 1
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Solution
x = {-0.8, -0.4285714286}
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