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Simplifying 4x + 2x2 + -9x + 5x2 = 0 Reorder the terms: 4x + -9x + 2x2 + 5x2 = 0 Combine like terms: 4x + -9x = -5x -5x + 2x2 + 5x2 = 0 Combine like terms: 2x2 + 5x2 = 7x2 -5x + 7x2 = 0 Solving -5x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 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 '(-5 + 7x)' equal to zero and attempt to solve: Simplifying -5 + 7x = 0 Solving -5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 0 + 5 7x = 0 + 5 Combine like terms: 0 + 5 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {0, 0.7142857143}
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