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Simplifying 5x2 + 5(9x2 + -1x) + -4x = 0 Reorder the terms: 5x2 + 5(-1x + 9x2) + -4x = 0 5x2 + (-1x * 5 + 9x2 * 5) + -4x = 0 5x2 + (-5x + 45x2) + -4x = 0 Reorder the terms: -5x + -4x + 5x2 + 45x2 = 0 Combine like terms: -5x + -4x = -9x -9x + 5x2 + 45x2 = 0 Combine like terms: 5x2 + 45x2 = 50x2 -9x + 50x2 = 0 Solving -9x + 50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 50x) = 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 + 50x)' equal to zero and attempt to solve: Simplifying -9 + 50x = 0 Solving -9 + 50x = 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 + 50x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 50x = 0 + 9 50x = 0 + 9 Combine like terms: 0 + 9 = 9 50x = 9 Divide each side by '50'. x = 0.18 Simplifying x = 0.18Solution
x = {0, 0.18}
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