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Simplifying 4x2 + -9 = 12x + -18 Reorder the terms: -9 + 4x2 = 12x + -18 Reorder the terms: -9 + 4x2 = -18 + 12x Solving -9 + 4x2 = -18 + 12x Solving for variable 'x'. Reorder the terms: -9 + 18 + -12x + 4x2 = -18 + 12x + 18 + -12x Combine like terms: -9 + 18 = 9 9 + -12x + 4x2 = -18 + 12x + 18 + -12x Reorder the terms: 9 + -12x + 4x2 = -18 + 18 + 12x + -12x Combine like terms: -18 + 18 = 0 9 + -12x + 4x2 = 0 + 12x + -12x 9 + -12x + 4x2 = 12x + -12x Combine like terms: 12x + -12x = 0 9 + -12x + 4x2 = 0 Factor a trinomial. (3 + -2x)(3 + -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 '(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 = 1.5Solution
x = {1.5, 1.5}
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