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Simplifying 0 = -5x3 + 25x3 + -17x Reorder the terms: 0 = -17x + -5x3 + 25x3 Combine like terms: -5x3 + 25x3 = 20x3 0 = -17x + 20x3 Solving 0 = -17x + 20x3 Solving for variable 'x'. Remove the zero: 17x + -20x3 = -17x + 20x3 + 17x + -20x3 Reorder the terms: 17x + -20x3 = -17x + 17x + 20x3 + -20x3 Combine like terms: -17x + 17x = 0 17x + -20x3 = 0 + 20x3 + -20x3 17x + -20x3 = 20x3 + -20x3 Combine like terms: 20x3 + -20x3 = 0 17x + -20x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(17 + -20x2) = 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 '(17 + -20x2)' equal to zero and attempt to solve: Simplifying 17 + -20x2 = 0 Solving 17 + -20x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -20x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -20x2 = 0 + -17 -20x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -20x2 = -17 Divide each side by '-20'. x2 = 0.85 Simplifying x2 = 0.85 Take the square root of each side: x = {-0.921954446, 0.921954446}Solution
x = {0, -0.921954446, 0.921954446}
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