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

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


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

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

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

Multiply (-3 + x) * (5 + 3x)
(-3(5 + 3x) + x(5 + 3x)) = 3x2
((5 * -3 + 3x * -3) + x(5 + 3x)) = 3x2
((-15 + -9x) + x(5 + 3x)) = 3x2
(-15 + -9x + (5 * x + 3x * x)) = 3x2
(-15 + -9x + (5x + 3x2)) = 3x2

Combine like terms: -9x + 5x = -4x
(-15 + -4x + 3x2) = 3x2

Add '-3x2' to each side of the equation.
-15 + -4x + 3x2 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15 + -4x + 0 = 3x2 + -3x2
-15 + -4x = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15 + -4x = 0

Solving
-15 + -4x = 0

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + -4x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = 0 + 15
-4x = 0 + 15

Combine like terms: 0 + 15 = 15
-4x = 15

Divide each side by '-4'.
x = -3.75

Simplifying
x = -3.75

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