2(x-3)+5x(x-1)=5x^2

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


Simplifying
2(x + -3) + 5x(x + -1) = 5x2

Reorder the terms:
2(-3 + x) + 5x(x + -1) = 5x2
(-3 * 2 + x * 2) + 5x(x + -1) = 5x2
(-6 + 2x) + 5x(x + -1) = 5x2

Reorder the terms:
-6 + 2x + 5x(-1 + x) = 5x2
-6 + 2x + (-1 * 5x + x * 5x) = 5x2
-6 + 2x + (-5x + 5x2) = 5x2

Combine like terms: 2x + -5x = -3x
-6 + -3x + 5x2 = 5x2

Add '-5x2' to each side of the equation.
-6 + -3x + 5x2 + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-6 + -3x + 0 = 5x2 + -5x2
-6 + -3x = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-6 + -3x = 0

Solving
-6 + -3x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 0 + 6
-3x = 0 + 6

Combine like terms: 0 + 6 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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