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Simplifying 35x3 + -50x2 = 0 Reorder the terms: -50x2 + 35x3 = 0 Solving -50x2 + 35x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-10 + 7x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-10 + 7x)' equal to zero and attempt to solve: Simplifying -10 + 7x = 0 Solving -10 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 0 + 10 7x = 0 + 10 Combine like terms: 0 + 10 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429Solution
x = {0, 1.428571429}
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