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Simplifying 51x3 + -3x = 0 Reorder the terms: -3x + 51x3 = 0 Solving -3x + 51x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-1 + 17x2) = 0 Ignore the factor 3.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 '(-1 + 17x2)' equal to zero and attempt to solve: Simplifying -1 + 17x2 = 0 Solving -1 + 17x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 17x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 17x2 = 0 + 1 17x2 = 0 + 1 Combine like terms: 0 + 1 = 1 17x2 = 1 Divide each side by '17'. x2 = 0.05882352941 Simplifying x2 = 0.05882352941 Take the square root of each side: x = {-0.242535625, 0.242535625}Solution
x = {0, -0.242535625, 0.242535625}
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