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Simplifying 3x2 + -5x + 10 = 10 Reorder the terms: 10 + -5x + 3x2 = 10 Add '-10' to each side of the equation. 10 + -5x + -10 + 3x2 = 10 + -10 Reorder the terms: 10 + -10 + -5x + 3x2 = 10 + -10 Combine like terms: 10 + -10 = 0 0 + -5x + 3x2 = 10 + -10 -5x + 3x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -5x + 3x2 = 0 Solving -5x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 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 '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, 1.666666667}
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