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Simplifying 35x2 + -10x = 5x Reorder the terms: -10x + 35x2 = 5x Solving -10x + 35x2 = 5x Solving for variable 'x'. Reorder the terms: -10x + -5x + 35x2 = 5x + -5x Combine like terms: -10x + -5x = -15x -15x + 35x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -15x + 35x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-3 + 7x) = 0 Ignore the factor 5.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 '(-3 + 7x)' equal to zero and attempt to solve: Simplifying -3 + 7x = 0 Solving -3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 0 + 3 7x = 0 + 3 Combine like terms: 0 + 3 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {0, 0.4285714286}
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