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Simplifying 80x3 + -42x = 0 Reorder the terms: -42x + 80x3 = 0 Solving -42x + 80x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-21 + 40x2) = 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 '(-21 + 40x2)' equal to zero and attempt to solve: Simplifying -21 + 40x2 = 0 Solving -21 + 40x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 40x2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 40x2 = 0 + 21 40x2 = 0 + 21 Combine like terms: 0 + 21 = 21 40x2 = 21 Divide each side by '40'. x2 = 0.525 Simplifying x2 = 0.525 Take the square root of each side: x = {-0.724568837, 0.724568837}Solution
x = {0, -0.724568837, 0.724568837}
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