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Simplifying 49x3 + -36x2 = 0 Reorder the terms: -36x2 + 49x3 = 0 Solving -36x2 + 49x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-36 + 49x) = 0Subproblem 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 '(-36 + 49x)' equal to zero and attempt to solve: Simplifying -36 + 49x = 0 Solving -36 + 49x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 49x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 49x = 0 + 36 49x = 0 + 36 Combine like terms: 0 + 36 = 36 49x = 36 Divide each side by '49'. x = 0.7346938776 Simplifying x = 0.7346938776Solution
x = {0, 0.7346938776}
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