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Simplifying 8x2 + 5x + 18 = 29x Reorder the terms: 18 + 5x + 8x2 = 29x Solving 18 + 5x + 8x2 = 29x Solving for variable 'x'. Reorder the terms: 18 + 5x + -29x + 8x2 = 29x + -29x Combine like terms: 5x + -29x = -24x 18 + -24x + 8x2 = 29x + -29x Combine like terms: 29x + -29x = 0 18 + -24x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -12x + 4x2) = 0 Factor a trinomial. 2((3 + -2x)(3 + -2x)) = 0 Ignore the factor 2.Subproblem 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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