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Simplifying -8x2 + 20x5 + -28x2 = 0 Reorder the terms: -8x2 + -28x2 + 20x5 = 0 Combine like terms: -8x2 + -28x2 = -36x2 -36x2 + 20x5 = 0 Solving -36x2 + 20x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-9 + 5x3) = 0 Ignore the factor 4.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 '(-9 + 5x3)' equal to zero and attempt to solve: Simplifying -9 + 5x3 = 0 Solving -9 + 5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5x3 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5x3 = 0 + 9 5x3 = 0 + 9 Combine like terms: 0 + 9 = 9 5x3 = 9 Divide each side by '5'. x3 = 1.8 Simplifying x3 = 1.8 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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