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Simplifying 8ax + -7a2 = 19a2 + -5ax Reorder the terms: 8ax + -7a2 = -5ax + 19a2 Solving 8ax + -7a2 = -5ax + 19a2 Solving for variable 'a'. Reorder the terms: 8ax + 5ax + -7a2 + -19a2 = -5ax + 19a2 + 5ax + -19a2 Combine like terms: 8ax + 5ax = 13ax 13ax + -7a2 + -19a2 = -5ax + 19a2 + 5ax + -19a2 Combine like terms: -7a2 + -19a2 = -26a2 13ax + -26a2 = -5ax + 19a2 + 5ax + -19a2 Reorder the terms: 13ax + -26a2 = -5ax + 5ax + 19a2 + -19a2 Combine like terms: -5ax + 5ax = 0 13ax + -26a2 = 0 + 19a2 + -19a2 13ax + -26a2 = 19a2 + -19a2 Combine like terms: 19a2 + -19a2 = 0 13ax + -26a2 = 0 Factor out the Greatest Common Factor (GCF), '13a'. 13a(x + -2a) = 0 Ignore the factor 13.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(x + -2a)' equal to zero and attempt to solve: Simplifying x + -2a = 0 Reorder the terms: -2a + x = 0 Solving -2a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. -2a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -2a + 0 = 0 + -1x -2a = 0 + -1x Remove the zero: -2a = -1x Divide each side by '-2'. a = 0.5x Simplifying a = 0.5xSolution
a = {0, 0.5x}
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