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Simplifying
(6x2 + 8x)(6x2 + -8x) = 36x4 + -64X2
Reorder the terms:
(8x + 6x2)(6x2 + -8x) = 36x4 + -64X2
Reorder the terms:
(8x + 6x2)(-8x + 6x2) = 36x4 + -64X2
Multiply (8x + 6x2) * (-8x + 6x2)
(8x * (-8x + 6x2) + 6x2 * (-8x + 6x2)) = 36x4 + -64X2
((-8x * 8x + 6x2 * 8x) + 6x2 * (-8x + 6x2)) = 36x4 + -64X2
((-64x2 + 48x3) + 6x2 * (-8x + 6x2)) = 36x4 + -64X2
(-64x2 + 48x3 + (-8x * 6x2 + 6x2 * 6x2)) = 36x4 + -64X2
(-64x2 + 48x3 + (-48x3 + 36x4)) = 36x4 + -64X2
Combine like terms: 48x3 + -48x3 = 0
(-64x2 + 0 + 36x4) = 36x4 + -64X2
(-64x2 + 36x4) = 36x4 + -64X2
Reorder the terms:
-64x2 + 36x4 = -64X2 + 36x4
Add '-36x4' to each side of the equation.
-64x2 + 36x4 + -36x4 = -64X2 + 36x4 + -36x4
Combine like terms: 36x4 + -36x4 = 0
-64x2 + 0 = -64X2 + 36x4 + -36x4
-64x2 = -64X2 + 36x4 + -36x4
Combine like terms: 36x4 + -36x4 = 0
-64x2 = -64X2 + 0
-64x2 = -64X2
Solving
-64x2 = -64X2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-64'.
x2 = X2
Simplifying
x2 = X2
Take the square root of each side:
x = {-1X, X}
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