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Simplifying 5x + -1(2x2 + -4x) + 9x2 = 0 Reorder the terms: 5x + -1(-4x + 2x2) + 9x2 = 0 5x + (-4x * -1 + 2x2 * -1) + 9x2 = 0 5x + (4x + -2x2) + 9x2 = 0 Combine like terms: 5x + 4x = 9x 9x + -2x2 + 9x2 = 0 Combine like terms: -2x2 + 9x2 = 7x2 9x + 7x2 = 0 Solving 9x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 7x) = 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 + 7x)' equal to zero and attempt to solve: Simplifying 9 + 7x = 0 Solving 9 + 7x = 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 + 7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 0 + -9 7x = 0 + -9 Combine like terms: 0 + -9 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286Solution
x = {0, -1.285714286}
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