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Simplifying a(x + 14)(x + 14) + -1ay * ay = 0 Reorder the terms: a(14 + x)(x + 14) + -1ay * ay = 0 Reorder the terms: a(14 + x)(14 + x) + -1ay * ay = 0 Multiply (14 + x) * (14 + x) a(14(14 + x) + x(14 + x)) + -1ay * ay = 0 a((14 * 14 + x * 14) + x(14 + x)) + -1ay * ay = 0 a((196 + 14x) + x(14 + x)) + -1ay * ay = 0 a(196 + 14x + (14 * x + x * x)) + -1ay * ay = 0 a(196 + 14x + (14x + x2)) + -1ay * ay = 0 Combine like terms: 14x + 14x = 28x a(196 + 28x + x2) + -1ay * ay = 0 (196 * a + 28x * a + x2 * a) + -1ay * ay = 0 (196a + 28ax + ax2) + -1ay * ay = 0 Multiply ay * ay 196a + 28ax + ax2 + -1a2y2 = 0 Solving 196a + 28ax + ax2 + -1a2y2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(196 + 28x + x2 + -1ay2) = 0Subproblem 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 '(196 + 28x + x2 + -1ay2)' equal to zero and attempt to solve: Simplifying 196 + 28x + x2 + -1ay2 = 0 Reorder the terms: 196 + -1ay2 + 28x + x2 = 0 Solving 196 + -1ay2 + 28x + x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-196' to each side of the equation. 196 + -1ay2 + 28x + -196 + x2 = 0 + -196 Reorder the terms: 196 + -196 + -1ay2 + 28x + x2 = 0 + -196 Combine like terms: 196 + -196 = 0 0 + -1ay2 + 28x + x2 = 0 + -196 -1ay2 + 28x + x2 = 0 + -196 Combine like terms: 0 + -196 = -196 -1ay2 + 28x + x2 = -196 Add '-28x' to each side of the equation. -1ay2 + 28x + -28x + x2 = -196 + -28x Combine like terms: 28x + -28x = 0 -1ay2 + 0 + x2 = -196 + -28x -1ay2 + x2 = -196 + -28x Add '-1x2' to each side of the equation. -1ay2 + x2 + -1x2 = -196 + -28x + -1x2 Combine like terms: x2 + -1x2 = 0 -1ay2 + 0 = -196 + -28x + -1x2 -1ay2 = -196 + -28x + -1x2 Divide each side by '-1y2'. a = 196y-2 + 28xy-2 + x2y-2 Simplifying a = 196y-2 + 28xy-2 + x2y-2 Reorder the terms: a = 28xy-2 + x2y-2 + 196y-2Solution
a = {0, 28xy-2 + x2y-2 + 196y-2}
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