6x^2+13x-15=(6x-5)(x+3)

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Solution for 6x^2+13x-15=(6x-5)(x+3) equation: 


Simplifying
6x2 + 13x + -15 = (6x + -5)(x + 3)

Reorder the terms:
-15 + 13x + 6x2 = (6x + -5)(x + 3)

Reorder the terms:
-15 + 13x + 6x2 = (-5 + 6x)(x + 3)

Reorder the terms:
-15 + 13x + 6x2 = (-5 + 6x)(3 + x)

Multiply (-5 + 6x) * (3 + x)
-15 + 13x + 6x2 = (-5(3 + x) + 6x * (3 + x))
-15 + 13x + 6x2 = ((3 * -5 + x * -5) + 6x * (3 + x))
-15 + 13x + 6x2 = ((-15 + -5x) + 6x * (3 + x))
-15 + 13x + 6x2 = (-15 + -5x + (3 * 6x + x * 6x))
-15 + 13x + 6x2 = (-15 + -5x + (18x + 6x2))

Combine like terms: -5x + 18x = 13x
-15 + 13x + 6x2 = (-15 + 13x + 6x2)

Add '15' to each side of the equation.
-15 + 13x + 15 + 6x2 = -15 + 13x + 15 + 6x2

Reorder the terms:
-15 + 15 + 13x + 6x2 = -15 + 13x + 15 + 6x2

Combine like terms: -15 + 15 = 0
0 + 13x + 6x2 = -15 + 13x + 15 + 6x2
13x + 6x2 = -15 + 13x + 15 + 6x2

Reorder the terms:
13x + 6x2 = -15 + 15 + 13x + 6x2

Combine like terms: -15 + 15 = 0
13x + 6x2 = 0 + 13x + 6x2
13x + 6x2 = 13x + 6x2

Add '-13x' to each side of the equation.
13x + -13x + 6x2 = 13x + -13x + 6x2

Combine like terms: 13x + -13x = 0
0 + 6x2 = 13x + -13x + 6x2
6x2 = 13x + -13x + 6x2

Combine like terms: 13x + -13x = 0
6x2 = 0 + 6x2
6x2 = 6x2

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

Combine like terms: 6x2 + -6x2 = 0
0 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 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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