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Simplifying 18x(x + -5) = 8x Reorder the terms: 18x(-5 + x) = 8x (-5 * 18x + x * 18x) = 8x (-90x + 18x2) = 8x Solving -90x + 18x2 = 8x Solving for variable 'x'. Reorder the terms: -90x + -8x + 18x2 = 8x + -8x Combine like terms: -90x + -8x = -98x -98x + 18x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -98x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-49 + 9x) = 0 Ignore the factor 2.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 '(-49 + 9x)' equal to zero and attempt to solve: Simplifying -49 + 9x = 0 Solving -49 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 9x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 9x = 0 + 49 9x = 0 + 49 Combine like terms: 0 + 49 = 49 9x = 49 Divide each side by '9'. x = 5.444444444 Simplifying x = 5.444444444Solution
x = {0, 5.444444444}
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