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Simplifying 0 = 4x2 + -12x + -7 Reorder the terms: 0 = -7 + -12x + 4x2 Solving 0 = -7 + -12x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 7 = 7 7 + 12x + -4x2 = -7 + -12x + 4x2 + 7 + 12x + -4x2 Reorder the terms: 7 + 12x + -4x2 = -7 + 7 + -12x + 12x + 4x2 + -4x2 Combine like terms: -7 + 7 = 0 7 + 12x + -4x2 = 0 + -12x + 12x + 4x2 + -4x2 7 + 12x + -4x2 = -12x + 12x + 4x2 + -4x2 Combine like terms: -12x + 12x = 0 7 + 12x + -4x2 = 0 + 4x2 + -4x2 7 + 12x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 7 + 12x + -4x2 = 0 Factor a trinomial. (7 + -2x)(1 + 2x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 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 = {3.5, -0.5}
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