3(x-6)(x+1)+40=x(3x-1)

Solution for 3(x-6)(x+1)+40=x(3x-1) equation:

Simplifying
3(x + -6)(x + 1) + 40 = x(3x + -1)

Reorder the terms:
3(-6 + x)(x + 1) + 40 = x(3x + -1)

Reorder the terms:
3(-6 + x)(1 + x) + 40 = x(3x + -1)

Multiply (-6 + x) * (1 + x)
3(-6(1 + x) + x(1 + x)) + 40 = x(3x + -1)
3((1 * -6 + x * -6) + x(1 + x)) + 40 = x(3x + -1)
3((-6 + -6x) + x(1 + x)) + 40 = x(3x + -1)
3(-6 + -6x + (1 * x + x * x)) + 40 = x(3x + -1)
3(-6 + -6x + (1x + x2)) + 40 = x(3x + -1)

Combine like terms: -6x + 1x = -5x
3(-6 + -5x + x2) + 40 = x(3x + -1)
(-6 * 3 + -5x * 3 + x2 * 3) + 40 = x(3x + -1)
(-18 + -15x + 3x2) + 40 = x(3x + -1)

Reorder the terms:
-18 + 40 + -15x + 3x2 = x(3x + -1)

Combine like terms: -18 + 40 = 22
22 + -15x + 3x2 = x(3x + -1)

Reorder the terms:
22 + -15x + 3x2 = x(-1 + 3x)
22 + -15x + 3x2 = (-1 * x + 3x * x)
22 + -15x + 3x2 = (-1x + 3x2)

Add '-3x2' to each side of the equation.
22 + -15x + 3x2 + -3x2 = -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
22 + -15x + 0 = -1x + 3x2 + -3x2
22 + -15x = -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
22 + -15x = -1x + 0
22 + -15x = -1x

Solving
22 + -15x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
22 + -15x + x = -1x + x

Combine like terms: -15x + x = -14x
22 + -14x = -1x + x

Combine like terms: -1x + x = 0
22 + -14x = 0

Add '-22' to each side of the equation.
22 + -22 + -14x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -14x = 0 + -22
-14x = 0 + -22

Combine like terms: 0 + -22 = -22
-14x = -22

Divide each side by '-14'.
x = 1.571428571

Simplifying
x = 1.571428571