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

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


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

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

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

Multiply (-1 + 3x) * (5 + x)
(-1(5 + x) + 3x * (5 + x)) = 3x2
((5 * -1 + x * -1) + 3x * (5 + x)) = 3x2
((-5 + -1x) + 3x * (5 + x)) = 3x2
(-5 + -1x + (5 * 3x + x * 3x)) = 3x2
(-5 + -1x + (15x + 3x2)) = 3x2

Combine like terms: -1x + 15x = 14x
(-5 + 14x + 3x2) = 3x2

Add '-3x2' to each side of the equation.
-5 + 14x + 3x2 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-5 + 14x + 0 = 3x2 + -3x2
-5 + 14x = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-5 + 14x = 0

Solving
-5 + 14x = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 14x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 14x = 0 + 5
14x = 0 + 5

Combine like terms: 0 + 5 = 5
14x = 5

Divide each side by '14'.
x = 0.3571428571

Simplifying
x = 0.3571428571

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