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Simplifying 4x2 + 7 = -8x + 4 Reorder the terms: 7 + 4x2 = -8x + 4 Reorder the terms: 7 + 4x2 = 4 + -8x Solving 7 + 4x2 = 4 + -8x Solving for variable 'x'. Reorder the terms: 7 + -4 + 8x + 4x2 = 4 + -8x + -4 + 8x Combine like terms: 7 + -4 = 3 3 + 8x + 4x2 = 4 + -8x + -4 + 8x Reorder the terms: 3 + 8x + 4x2 = 4 + -4 + -8x + 8x Combine like terms: 4 + -4 = 0 3 + 8x + 4x2 = 0 + -8x + 8x 3 + 8x + 4x2 = -8x + 8x Combine like terms: -8x + 8x = 0 3 + 8x + 4x2 = 0 Factor a trinomial. (3 + 2x)(1 + 2x) = 0Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, -0.5}
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