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Simplifying 3x2 + -25x = 10x Reorder the terms: -25x + 3x2 = 10x Solving -25x + 3x2 = 10x Solving for variable 'x'. Reorder the terms: -25x + -10x + 3x2 = 10x + -10x Combine like terms: -25x + -10x = -35x -35x + 3x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -35x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-35 + 3x) = 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 + 3x)' equal to zero and attempt to solve: Simplifying -35 + 3x = 0 Solving -35 + 3x = 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 + 3x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = 0 + 35 3x = 0 + 35 Combine like terms: 0 + 35 = 35 3x = 35 Divide each side by '3'. x = 11.66666667 Simplifying x = 11.66666667Solution
x = {0, 11.66666667}
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