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Simplifying (5x + 6) + -1(2x2 + -4x + 6) = 0 Reorder the terms: (6 + 5x) + -1(2x2 + -4x + 6) = 0 Remove parenthesis around (6 + 5x) 6 + 5x + -1(2x2 + -4x + 6) = 0 Reorder the terms: 6 + 5x + -1(6 + -4x + 2x2) = 0 6 + 5x + (6 * -1 + -4x * -1 + 2x2 * -1) = 0 6 + 5x + (-6 + 4x + -2x2) = 0 Reorder the terms: 6 + -6 + 5x + 4x + -2x2 = 0 Combine like terms: 6 + -6 = 0 0 + 5x + 4x + -2x2 = 0 5x + 4x + -2x2 = 0 Combine like terms: 5x + 4x = 9x 9x + -2x2 = 0 Solving 9x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + -2x) = 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 '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {0, 4.5}
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