3(x-1.0)2+(4x-6)2+108=540

Solution for 3(x-1.0)2+(4x-6)2+108=540 equation:

Simplifying
3(x + -1.0) * 2 + (4x + -6) * 2 + 108 = 540

Reorder the terms:
3(-1.0 + x) * 2 + (4x + -6) * 2 + 108 = 540

Reorder the terms for easier multiplication:
3 * 2(-1.0 + x) + (4x + -6) * 2 + 108 = 540

Multiply 3 * 2
6(-1.0 + x) + (4x + -6) * 2 + 108 = 540
(-1.0 * 6 + x * 6) + (4x + -6) * 2 + 108 = 540
(-6 + 6x) + (4x + -6) * 2 + 108 = 540

Reorder the terms:
-6 + 6x + (-6 + 4x) * 2 + 108 = 540

Reorder the terms for easier multiplication:
-6 + 6x + 2(-6 + 4x) + 108 = 540
-6 + 6x + (-6 * 2 + 4x * 2) + 108 = 540
-6 + 6x + (-12 + 8x) + 108 = 540

Reorder the terms:
-6 + -12 + 108 + 6x + 8x = 540

Combine like terms: -6 + -12 = -18
-18 + 108 + 6x + 8x = 540

Combine like terms: -18 + 108 = 90
90 + 6x + 8x = 540

Combine like terms: 6x + 8x = 14x
90 + 14x = 540

Solving
90 + 14x = 540

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + -90 + 14x = 540 + -90

Combine like terms: 90 + -90 = 0
0 + 14x = 540 + -90
14x = 540 + -90

Combine like terms: 540 + -90 = 450
14x = 450

Divide each side by '14'.
x = 32.14285714

Simplifying
x = 32.14285714