10x^2-13x-3=(2x-3)(5x+1)

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Solution for 10x^2-13x-3=(2x-3)(5x+1) equation: 


Simplifying
10x2 + -13x + -3 = (2x + -3)(5x + 1)

Reorder the terms:
-3 + -13x + 10x2 = (2x + -3)(5x + 1)

Reorder the terms:
-3 + -13x + 10x2 = (-3 + 2x)(5x + 1)

Reorder the terms:
-3 + -13x + 10x2 = (-3 + 2x)(1 + 5x)

Multiply (-3 + 2x) * (1 + 5x)
-3 + -13x + 10x2 = (-3(1 + 5x) + 2x * (1 + 5x))
-3 + -13x + 10x2 = ((1 * -3 + 5x * -3) + 2x * (1 + 5x))
-3 + -13x + 10x2 = ((-3 + -15x) + 2x * (1 + 5x))
-3 + -13x + 10x2 = (-3 + -15x + (1 * 2x + 5x * 2x))
-3 + -13x + 10x2 = (-3 + -15x + (2x + 10x2))

Combine like terms: -15x + 2x = -13x
-3 + -13x + 10x2 = (-3 + -13x + 10x2)

Add '3' to each side of the equation.
-3 + -13x + 3 + 10x2 = -3 + -13x + 3 + 10x2

Reorder the terms:
-3 + 3 + -13x + 10x2 = -3 + -13x + 3 + 10x2

Combine like terms: -3 + 3 = 0
0 + -13x + 10x2 = -3 + -13x + 3 + 10x2
-13x + 10x2 = -3 + -13x + 3 + 10x2

Reorder the terms:
-13x + 10x2 = -3 + 3 + -13x + 10x2

Combine like terms: -3 + 3 = 0
-13x + 10x2 = 0 + -13x + 10x2
-13x + 10x2 = -13x + 10x2

Add '13x' to each side of the equation.
-13x + 13x + 10x2 = -13x + 13x + 10x2

Combine like terms: -13x + 13x = 0
0 + 10x2 = -13x + 13x + 10x2
10x2 = -13x + 13x + 10x2

Combine like terms: -13x + 13x = 0
10x2 = 0 + 10x2
10x2 = 10x2

Add '-10x2' to each side of the equation.
10x2 + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
0 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 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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