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Simplifying 8x2 + 3a2 = 10ax Reorder the terms: 3a2 + 8x2 = 10ax Solving 3a2 + 8x2 = 10ax Solving for variable 'a'. Reorder the terms: -10ax + 3a2 + 8x2 = 10ax + -10ax Combine like terms: 10ax + -10ax = 0 -10ax + 3a2 + 8x2 = 0 Factor a trinomial. (a + -2x)(3a + -4x) = 0Subproblem 1
Set the factor '(a + -2x)' equal to zero and attempt to solve: Simplifying a + -2x = 0 Solving a + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '2x' to each side of the equation. a + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 a + 0 = 0 + 2x a = 0 + 2x Remove the zero: a = 2x Simplifying a = 2xSubproblem 2
Set the factor '(3a + -4x)' equal to zero and attempt to solve: Simplifying 3a + -4x = 0 Solving 3a + -4x = 0 Move all terms containing a to the left, all other terms to the right. Add '4x' to each side of the equation. 3a + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 3a + 0 = 0 + 4x 3a = 0 + 4x Remove the zero: 3a = 4x Divide each side by '3'. a = 1.333333333x Simplifying a = 1.333333333xSolution
a = {2x, 1.333333333x}
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