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Simplifying 77x2 = 12 + -5x Solving 77x2 = 12 + -5x Solving for variable 'x'. Reorder the terms: -12 + 5x + 77x2 = 12 + -5x + -12 + 5x Reorder the terms: -12 + 5x + 77x2 = 12 + -12 + -5x + 5x Combine like terms: 12 + -12 = 0 -12 + 5x + 77x2 = 0 + -5x + 5x -12 + 5x + 77x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 5x + 77x2 = 0 Factor a trinomial. (-3 + -7x)(4 + -11x) = 0Subproblem 1
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 = -0.4285714286Subproblem 2
Set the factor '(4 + -11x)' equal to zero and attempt to solve: Simplifying 4 + -11x = 0 Solving 4 + -11x = 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 + -11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 0 + -4 -11x = 0 + -4 Combine like terms: 0 + -4 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636Solution
x = {-0.4285714286, 0.3636363636}
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