-3(x-5)=3x(x-1)

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Solution for -3(x-5)=3x(x-1) equation: 


Simplifying
-3(x + -5) = 3x(x + -1)

Reorder the terms:
-3(-5 + x) = 3x(x + -1)
(-5 * -3 + x * -3) = 3x(x + -1)
(15 + -3x) = 3x(x + -1)

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

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

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

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

Solving
15 = 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.
15 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
15 + -3x2 = 0

Add '-15' to each side of the equation.
15 + -15 + -3x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -3x2 = 0 + -15
-3x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-3x2 = -15

Divide each side by '-3'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

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