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Simplifying 3x2 + 5x + -10x2 + -10x = 0 Reorder the terms: 5x + -10x + 3x2 + -10x2 = 0 Combine like terms: 5x + -10x = -5x -5x + 3x2 + -10x2 = 0 Combine like terms: 3x2 + -10x2 = -7x2 -5x + -7x2 = 0 Solving -5x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(5 + 7x) = 0 Ignore the factor -1.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 '(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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