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Simplifying 5x2 + -6x + 6 = 6 Reorder the terms: 6 + -6x + 5x2 = 6 Add '-6' to each side of the equation. 6 + -6x + -6 + 5x2 = 6 + -6 Reorder the terms: 6 + -6 + -6x + 5x2 = 6 + -6 Combine like terms: 6 + -6 = 0 0 + -6x + 5x2 = 6 + -6 -6x + 5x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6x + 5x2 = 0 Solving -6x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 5x) = 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 '(-6 + 5x)' equal to zero and attempt to solve: Simplifying -6 + 5x = 0 Solving -6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 0 + 6 5x = 0 + 6 Combine like terms: 0 + 6 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2Solution
x = {0, 1.2}
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