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Simplifying 2x(9 + -5x) + -1(-4x + -6x) = 0 (9 * 2x + -5x * 2x) + -1(-4x + -6x) = 0 (18x + -10x2) + -1(-4x + -6x) = 0 Combine like terms: -4x + -6x = -10x 18x + -10x2 + -1(-10x) = 0 Remove parenthesis around (-10x) 18x + -10x2 + -1 * -10x = 0 Multiply -1 * -10 18x + -10x2 + 10x = 0 Reorder the terms: 18x + 10x + -10x2 = 0 Combine like terms: 18x + 10x = 28x 28x + -10x2 = 0 Solving 28x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(14 + -5x) = 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 '(14 + -5x)' equal to zero and attempt to solve: Simplifying 14 + -5x = 0 Solving 14 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 0 + -14 -5x = 0 + -14 Combine like terms: 0 + -14 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8Solution
x = {0, 2.8}
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