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Simplifying 7(4x + -9x) + 5x(9 + -2x + 9x) = 0 Combine like terms: 4x + -9x = -5x 7(-5x) + 5x(9 + -2x + 9x) = 0 Remove parenthesis around (-5x) 7 * -5x + 5x(9 + -2x + 9x) = 0 Multiply 7 * -5 -35x + 5x(9 + -2x + 9x) = 0 Combine like terms: -2x + 9x = 7x -35x + 5x(9 + 7x) = 0 -35x + (9 * 5x + 7x * 5x) = 0 -35x + (45x + 35x2) = 0 Combine like terms: -35x + 45x = 10x 10x + 35x2 = 0 Solving 10x + 35x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(2 + 7x) = 0 Ignore the factor 5.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 '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {0, -0.2857142857}
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