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Simplifying 18x3 + 112x3 + -98x = 0 Reorder the terms: -98x + 18x3 + 112x3 = 0 Combine like terms: 18x3 + 112x3 = 130x3 -98x + 130x3 = 0 Solving -98x + 130x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-49 + 65x2) = 0 Ignore the factor 2.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 '(-49 + 65x2)' equal to zero and attempt to solve: Simplifying -49 + 65x2 = 0 Solving -49 + 65x2 = 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 + 65x2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 65x2 = 0 + 49 65x2 = 0 + 49 Combine like terms: 0 + 49 = 49 65x2 = 49 Divide each side by '65'. x2 = 0.7538461538 Simplifying x2 = 0.7538461538 Take the square root of each side: x = {-0.868243142, 0.868243142}Solution
x = {0, -0.868243142, 0.868243142}
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