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Simplifying 3x2 + -10x + 3 = 3 Reorder the terms: 3 + -10x + 3x2 = 3 Add '-3' to each side of the equation. 3 + -10x + -3 + 3x2 = 3 + -3 Reorder the terms: 3 + -3 + -10x + 3x2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -10x + 3x2 = 3 + -3 -10x + 3x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -10x + 3x2 = 0 Solving -10x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-10 + 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 '(-10 + 3x)' equal to zero and attempt to solve: Simplifying -10 + 3x = 0 Solving -10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 0 + 10 3x = 0 + 10 Combine like terms: 0 + 10 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {0, 3.333333333}
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