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Simplifying 18x2 + 8 = 24x Reorder the terms: 8 + 18x2 = 24x Solving 8 + 18x2 = 24x Solving for variable 'x'. Reorder the terms: 8 + -24x + 18x2 = 24x + -24x Combine like terms: 24x + -24x = 0 8 + -24x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -12x + 9x2) = 0 Factor a trinomial. 2((2 + -3x)(2 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.6666666667, 0.6666666667}
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