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Simplifying 7x2 + -5 + -11x2 + 10 + 8x = 0 Reorder the terms: -5 + 10 + 8x + 7x2 + -11x2 = 0 Combine like terms: -5 + 10 = 5 5 + 8x + 7x2 + -11x2 = 0 Combine like terms: 7x2 + -11x2 = -4x2 5 + 8x + -4x2 = 0 Solving 5 + 8x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -2x)(1 + 2x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {2.5, -0.5}
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