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Simplifying 3x2 + -10x = 13x Reorder the terms: -10x + 3x2 = 13x Solving -10x + 3x2 = 13x Solving for variable 'x'. Reorder the terms: -10x + -13x + 3x2 = 13x + -13x Combine like terms: -10x + -13x = -23x -23x + 3x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -23x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-23 + 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 '(-23 + 3x)' equal to zero and attempt to solve: Simplifying -23 + 3x = 0 Solving -23 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 3x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 0 + 23 3x = 0 + 23 Combine like terms: 0 + 23 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667Solution
x = {0, 7.666666667}
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