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Simplifying 9x2 + 4 + 9x2 + 4 = 8 + 3x Reorder the terms: 4 + 4 + 9x2 + 9x2 = 8 + 3x Combine like terms: 4 + 4 = 8 8 + 9x2 + 9x2 = 8 + 3x Combine like terms: 9x2 + 9x2 = 18x2 8 + 18x2 = 8 + 3x Add '-8' to each side of the equation. 8 + -8 + 18x2 = 8 + -8 + 3x Combine like terms: 8 + -8 = 0 0 + 18x2 = 8 + -8 + 3x 18x2 = 8 + -8 + 3x Combine like terms: 8 + -8 = 0 18x2 = 0 + 3x 18x2 = 3x Solving 18x2 = 3x Solving for variable 'x'. Reorder the terms: -3x + 18x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -3x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-1 + 6x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + 6x)' equal to zero and attempt to solve: Simplifying -1 + 6x = 0 Solving -1 + 6x = 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 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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