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Simplifying 30x2 + -36x = 18x2 + 48x Reorder the terms: -36x + 30x2 = 18x2 + 48x Reorder the terms: -36x + 30x2 = 48x + 18x2 Solving -36x + 30x2 = 48x + 18x2 Solving for variable 'x'. Reorder the terms: -36x + -48x + 30x2 + -18x2 = 48x + 18x2 + -48x + -18x2 Combine like terms: -36x + -48x = -84x -84x + 30x2 + -18x2 = 48x + 18x2 + -48x + -18x2 Combine like terms: 30x2 + -18x2 = 12x2 -84x + 12x2 = 48x + 18x2 + -48x + -18x2 Reorder the terms: -84x + 12x2 = 48x + -48x + 18x2 + -18x2 Combine like terms: 48x + -48x = 0 -84x + 12x2 = 0 + 18x2 + -18x2 -84x + 12x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -84x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-7 + x) = 0 Ignore the factor 12.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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Solution
x = {0, 7}
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