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Simplifying 45x2 + 25x5 + 20x2 = 0 Reorder the terms: 45x2 + 20x2 + 25x5 = 0 Combine like terms: 45x2 + 20x2 = 65x2 65x2 + 25x5 = 0 Solving 65x2 + 25x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(13 + 5x3) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(13 + 5x3)' equal to zero and attempt to solve: Simplifying 13 + 5x3 = 0 Solving 13 + 5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5x3 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5x3 = 0 + -13 5x3 = 0 + -13 Combine like terms: 0 + -13 = -13 5x3 = -13 Divide each side by '5'. x3 = -2.6 Simplifying x3 = -2.6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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