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Simplifying 3x2 + 9x + -5x + 4x2 = 0 Reorder the terms: 9x + -5x + 3x2 + 4x2 = 0 Combine like terms: 9x + -5x = 4x 4x + 3x2 + 4x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 4x + 7x2 = 0 Solving 4x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + 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 '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Solution
x = {0, -0.5714285714}
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