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Simplifying 6x2 + -23x + 15 = 15 Reorder the terms: 15 + -23x + 6x2 = 15 Add '-15' to each side of the equation. 15 + -23x + -15 + 6x2 = 15 + -15 Reorder the terms: 15 + -15 + -23x + 6x2 = 15 + -15 Combine like terms: 15 + -15 = 0 0 + -23x + 6x2 = 15 + -15 -23x + 6x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -23x + 6x2 = 0 Solving -23x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-23 + 6x) = 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 + 6x)' equal to zero and attempt to solve: Simplifying -23 + 6x = 0 Solving -23 + 6x = 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 + 6x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 6x = 0 + 23 6x = 0 + 23 Combine like terms: 0 + 23 = 23 6x = 23 Divide each side by '6'. x = 3.833333333 Simplifying x = 3.833333333Solution
x = {0, 3.833333333}
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