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 = -17x
-3 + -13x + 10x2 = (3 + -17x + 10x2)

Add '-10x2' to each side of the equation.
-3 + -13x + 10x2 + -10x2 = 3 + -17x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-3 + -13x + 0 = 3 + -17x + 10x2 + -10x2
-3 + -13x = 3 + -17x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-3 + -13x = 3 + -17x + 0
-3 + -13x = 3 + -17x

Solving
-3 + -13x = 3 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
-3 + -13x + 17x = 3 + -17x + 17x

Combine like terms: -13x + 17x = 4x
-3 + 4x = 3 + -17x + 17x

Combine like terms: -17x + 17x = 0
-3 + 4x = 3 + 0
-3 + 4x = 3

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

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

Combine like terms: 3 + 3 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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