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Simplifying -6x2 + 5x + 10 = 10 Reorder the terms: 10 + 5x + -6x2 = 10 Add '-10' to each side of the equation. 10 + 5x + -10 + -6x2 = 10 + -10 Reorder the terms: 10 + -10 + 5x + -6x2 = 10 + -10 Combine like terms: 10 + -10 = 0 0 + 5x + -6x2 = 10 + -10 5x + -6x2 = 10 + -10 Combine like terms: 10 + -10 = 0 5x + -6x2 = 0 Solving 5x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -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 '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {0, 0.8333333333}
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