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Simplifying -32aw + -15a2 = -7w2 Solving -32aw + -15a2 = -7w2 Solving for variable 'a'. Combine like terms: -7w2 + 7w2 = 0 -32aw + -15a2 + 7w2 = 0 Factor a trinomial. (-3a + -7w)(5a + -1w) = 0Subproblem 1
Set the factor '(-3a + -7w)' equal to zero and attempt to solve: Simplifying -3a + -7w = 0 Solving -3a + -7w = 0 Move all terms containing a to the left, all other terms to the right. Add '7w' to each side of the equation. -3a + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 -3a + 0 = 0 + 7w -3a = 0 + 7w Remove the zero: -3a = 7w Divide each side by '-3'. a = -2.333333333w Simplifying a = -2.333333333wSubproblem 2
Set the factor '(5a + -1w)' equal to zero and attempt to solve: Simplifying 5a + -1w = 0 Solving 5a + -1w = 0 Move all terms containing a to the left, all other terms to the right. Add 'w' to each side of the equation. 5a + -1w + w = 0 + w Combine like terms: -1w + w = 0 5a + 0 = 0 + w 5a = 0 + w Remove the zero: 5a = w Divide each side by '5'. a = 0.2w Simplifying a = 0.2wSolution
a = {-2.333333333w, 0.2w}
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