-3x^2+18x-15=3(x-1)(5-x)

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Solution for -3x^2+18x-15=3(x-1)(5-x) equation: 


Simplifying
-3x2 + 18x + -15 = 3(x + -1)(5 + -1x)

Reorder the terms:
-15 + 18x + -3x2 = 3(x + -1)(5 + -1x)

Reorder the terms:
-15 + 18x + -3x2 = 3(-1 + x)(5 + -1x)

Multiply (-1 + x) * (5 + -1x)
-15 + 18x + -3x2 = 3(-1(5 + -1x) + x(5 + -1x))
-15 + 18x + -3x2 = 3((5 * -1 + -1x * -1) + x(5 + -1x))
-15 + 18x + -3x2 = 3((-5 + 1x) + x(5 + -1x))
-15 + 18x + -3x2 = 3(-5 + 1x + (5 * x + -1x * x))
-15 + 18x + -3x2 = 3(-5 + 1x + (5x + -1x2))

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

Add '15' to each side of the equation.
-15 + 18x + 15 + -3x2 = -15 + 18x + 15 + -3x2

Reorder the terms:
-15 + 15 + 18x + -3x2 = -15 + 18x + 15 + -3x2

Combine like terms: -15 + 15 = 0
0 + 18x + -3x2 = -15 + 18x + 15 + -3x2
18x + -3x2 = -15 + 18x + 15 + -3x2

Reorder the terms:
18x + -3x2 = -15 + 15 + 18x + -3x2

Combine like terms: -15 + 15 = 0
18x + -3x2 = 0 + 18x + -3x2
18x + -3x2 = 18x + -3x2

Add '-18x' to each side of the equation.
18x + -18x + -3x2 = 18x + -18x + -3x2

Combine like terms: 18x + -18x = 0
0 + -3x2 = 18x + -18x + -3x2
-3x2 = 18x + -18x + -3x2

Combine like terms: 18x + -18x = 0
-3x2 = 0 + -3x2
-3x2 = -3x2

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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