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Simplifying 3x2 = 90x Solving 3x2 = 90x Solving for variable 'x'. Reorder the terms: -90x + 3x2 = 90x + -90x Combine like terms: 90x + -90x = 0 -90x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-30 + x) = 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 '(-30 + x)' equal to zero and attempt to solve: Simplifying -30 + x = 0 Solving -30 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + x = 0 + 30 x = 0 + 30 Combine like terms: 0 + 30 = 30 x = 30 Simplifying x = 30Solution
x = {0, 30}
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