56a^2+23at-63t^2=0

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Solution for 56a^2+23at-63t^2=0 equation:


Simplifying
56a2 + 23at + -63t2 = 0

Reorder the terms:
23at + 56a2 + -63t2 = 0

Solving
23at + 56a2 + -63t2 = 0

Solving for variable 'a'.

Factor a trinomial.
(8a + -7t)(7a + 9t) = 0

Subproblem 1

Set the factor '(8a + -7t)' equal to zero and attempt to solve: Simplifying 8a + -7t = 0 Solving 8a + -7t = 0 Move all terms containing a to the left, all other terms to the right. Add '7t' to each side of the equation. 8a + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 8a + 0 = 0 + 7t 8a = 0 + 7t Remove the zero: 8a = 7t Divide each side by '8'. a = 0.875t Simplifying a = 0.875t

Subproblem 2

Set the factor '(7a + 9t)' equal to zero and attempt to solve: Simplifying 7a + 9t = 0 Solving 7a + 9t = 0 Move all terms containing a to the left, all other terms to the right. Add '-9t' to each side of the equation. 7a + 9t + -9t = 0 + -9t Combine like terms: 9t + -9t = 0 7a + 0 = 0 + -9t 7a = 0 + -9t Remove the zero: 7a = -9t Divide each side by '7'. a = -1.285714286t Simplifying a = -1.285714286t

Solution

a = {0.875t, -1.285714286t}

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