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Simplifying x2 + -5a2 = -4ax Reorder the terms: -5a2 + x2 = -4ax Solving -5a2 + x2 = -4ax Solving for variable 'a'. Reorder the terms: 4ax + -5a2 + x2 = -4ax + 4ax Combine like terms: -4ax + 4ax = 0 4ax + -5a2 + x2 = 0 Factor a trinomial. (-5a + -1x)(a + -1x) = 0Subproblem 1
Set the factor '(-5a + -1x)' equal to zero and attempt to solve: Simplifying -5a + -1x = 0 Solving -5a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -5a + -1x + x = 0 + x Combine like terms: -1x + x = 0 -5a + 0 = 0 + x -5a = 0 + x Remove the zero: -5a = x Divide each side by '-5'. a = -0.2x Simplifying a = -0.2xSubproblem 2
Set the factor '(a + -1x)' equal to zero and attempt to solve: Simplifying a + -1x = 0 Solving a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. a + -1x + x = 0 + x Combine like terms: -1x + x = 0 a + 0 = 0 + x a = 0 + x Remove the zero: a = x Simplifying a = xSolution
a = {-0.2x, x}
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