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Simplifying x2 + 5x = 176x2 Reorder the terms: 5x + x2 = 176x2 Solving 5x + x2 = 176x2 Solving for variable 'x'. Combine like terms: x2 + -176x2 = -175x2 5x + -175x2 = 176x2 + -176x2 Combine like terms: 176x2 + -176x2 = 0 5x + -175x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(1 + -35x) = 0 Ignore the factor 5.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 + -35x)' equal to zero and attempt to solve: Simplifying 1 + -35x = 0 Solving 1 + -35x = 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 + -35x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -35x = 0 + -1 -35x = 0 + -1 Combine like terms: 0 + -1 = -1 -35x = -1 Divide each side by '-35'. x = 0.02857142857 Simplifying x = 0.02857142857Solution
x = {0, 0.02857142857}
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