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Simplifying 4x2 + -1xa + -18a2 = 0 Reorder the terms: -1ax + -18a2 + 4x2 = 0 Solving -1ax + -18a2 + 4x2 = 0 Solving for variable 'a'. Factor a trinomial. (-2a + -1x)(9a + -4x) = 0Subproblem 1
Set the factor '(-2a + -1x)' equal to zero and attempt to solve: Simplifying -2a + -1x = 0 Solving -2a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -2a + -1x + x = 0 + x Combine like terms: -1x + x = 0 -2a + 0 = 0 + x -2a = 0 + x Remove the zero: -2a = x Divide each side by '-2'. a = -0.5x Simplifying a = -0.5xSubproblem 2
Set the factor '(9a + -4x)' equal to zero and attempt to solve: Simplifying 9a + -4x = 0 Solving 9a + -4x = 0 Move all terms containing a to the left, all other terms to the right. Add '4x' to each side of the equation. 9a + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 9a + 0 = 0 + 4x 9a = 0 + 4x Remove the zero: 9a = 4x Divide each side by '9'. a = 0.4444444444x Simplifying a = 0.4444444444xSolution
a = {-0.5x, 0.4444444444x}
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