36(5x-1)2-256(x+3)2=

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Solution for 36(5x-1)2-256(x+3)2= equation:


Simplifying
36(5x + -1) * 2 + -256(x + 3) * 2 = 0

Reorder the terms:
36(-1 + 5x) * 2 + -256(x + 3) * 2 = 0

Reorder the terms for easier multiplication:
36 * 2(-1 + 5x) + -256(x + 3) * 2 = 0

Multiply 36 * 2
72(-1 + 5x) + -256(x + 3) * 2 = 0
(-1 * 72 + 5x * 72) + -256(x + 3) * 2 = 0
(-72 + 360x) + -256(x + 3) * 2 = 0

Reorder the terms:
-72 + 360x + -256(3 + x) * 2 = 0

Reorder the terms for easier multiplication:
-72 + 360x + -256 * 2(3 + x) = 0

Multiply -256 * 2
-72 + 360x + -512(3 + x) = 0
-72 + 360x + (3 * -512 + x * -512) = 0
-72 + 360x + (-1536 + -512x) = 0

Reorder the terms:
-72 + -1536 + 360x + -512x = 0

Combine like terms: -72 + -1536 = -1608
-1608 + 360x + -512x = 0

Combine like terms: 360x + -512x = -152x
-1608 + -152x = 0

Solving
-1608 + -152x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1608' to each side of the equation.
-1608 + 1608 + -152x = 0 + 1608

Combine like terms: -1608 + 1608 = 0
0 + -152x = 0 + 1608
-152x = 0 + 1608

Combine like terms: 0 + 1608 = 1608
-152x = 1608

Divide each side by '-152'.
x = -10.57894737

Simplifying
x = -10.57894737

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