x(4+2x)=(x+35)-3(x^2-x)

Solution for x(4+2x)=(x+35)-3(x^2-x) equation:

Simplifying
x(4 + 2x) = (x + 35) + -3(x2 + -1x)
(4 * x + 2x * x) = (x + 35) + -3(x2 + -1x)
(4x + 2x2) = (x + 35) + -3(x2 + -1x)

Reorder the terms:
4x + 2x2 = (35 + x) + -3(x2 + -1x)

Remove parenthesis around (35 + x)
4x + 2x2 = 35 + x + -3(x2 + -1x)

Reorder the terms:
4x + 2x2 = 35 + x + -3(-1x + x2)
4x + 2x2 = 35 + x + (-1x * -3 + x2 * -3)
4x + 2x2 = 35 + x + (3x + -3x2)

Combine like terms: x + 3x = 4x
4x + 2x2 = 35 + 4x + -3x2

Add '-4x' to each side of the equation.
4x + -4x + 2x2 = 35 + 4x + -4x + -3x2

Combine like terms: 4x + -4x = 0
0 + 2x2 = 35 + 4x + -4x + -3x2
2x2 = 35 + 4x + -4x + -3x2

Combine like terms: 4x + -4x = 0
2x2 = 35 + 0 + -3x2
2x2 = 35 + -3x2

Solving
2x2 = 35 + -3x2

Solving for variable 'x'.

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

Add '3x2' to each side of the equation.
2x2 + 3x2 = 35 + -3x2 + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
5x2 = 35 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
5x2 = 35 + 0
5x2 = 35

Divide each side by '5'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}