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Simplifying 6x2 + -4x + 24 = 24 Reorder the terms: 24 + -4x + 6x2 = 24 Add '-24' to each side of the equation. 24 + -4x + -24 + 6x2 = 24 + -24 Reorder the terms: 24 + -24 + -4x + 6x2 = 24 + -24 Combine like terms: 24 + -24 = 0 0 + -4x + 6x2 = 24 + -24 -4x + 6x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -4x + 6x2 = 0 Solving -4x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-2 + 3x) = 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 '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0, 0.6666666667}
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