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Simplifying 10x2 + -38x + 24 = 24 Reorder the terms: 24 + -38x + 10x2 = 24 Add '-24' to each side of the equation. 24 + -38x + -24 + 10x2 = 24 + -24 Reorder the terms: 24 + -24 + -38x + 10x2 = 24 + -24 Combine like terms: 24 + -24 = 0 0 + -38x + 10x2 = 24 + -24 -38x + 10x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -38x + 10x2 = 0 Solving -38x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-19 + 5x) = 0 Ignore the factor 2.Subproblem 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 '(-19 + 5x)' equal to zero and attempt to solve: Simplifying -19 + 5x = 0 Solving -19 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 5x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = 0 + 19 5x = 0 + 19 Combine like terms: 0 + 19 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8Solution
x = {0, 3.8}
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