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Simplifying 2x2 + -5x = 30x Reorder the terms: -5x + 2x2 = 30x Solving -5x + 2x2 = 30x Solving for variable 'x'. Reorder the terms: -5x + -30x + 2x2 = 30x + -30x Combine like terms: -5x + -30x = -35x -35x + 2x2 = 30x + -30x Combine like terms: 30x + -30x = 0 -35x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-35 + 2x) = 0Subproblem 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 '(-35 + 2x)' equal to zero and attempt to solve: Simplifying -35 + 2x = 0 Solving -35 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 2x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 0 + 35 2x = 0 + 35 Combine like terms: 0 + 35 = 35 2x = 35 Divide each side by '2'. x = 17.5 Simplifying x = 17.5Solution
x = {0, 17.5}
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