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Simplifying 61x3 + -49x = 0 Reorder the terms: -49x + 61x3 = 0 Solving -49x + 61x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-49 + 61x2) = 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 '(-49 + 61x2)' equal to zero and attempt to solve: Simplifying -49 + 61x2 = 0 Solving -49 + 61x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 61x2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 61x2 = 0 + 49 61x2 = 0 + 49 Combine like terms: 0 + 49 = 49 61x2 = 49 Divide each side by '61'. x2 = 0.8032786885 Simplifying x2 = 0.8032786885 Take the square root of each side: x = {-0.89625816, 0.89625816}Solution
x = {0, -0.89625816, 0.89625816}
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