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

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


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

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

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

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

Multiply (-1 + 2x) * (2 + x)
-5 + 3x + 2x2 = (-1(2 + x) + 2x * (2 + x))
-5 + 3x + 2x2 = ((2 * -1 + x * -1) + 2x * (2 + x))
-5 + 3x + 2x2 = ((-2 + -1x) + 2x * (2 + x))
-5 + 3x + 2x2 = (-2 + -1x + (2 * 2x + x * 2x))
-5 + 3x + 2x2 = (-2 + -1x + (4x + 2x2))

Combine like terms: -1x + 4x = 3x
-5 + 3x + 2x2 = (-2 + 3x + 2x2)

Add '-3x' to each side of the equation.
-5 + 3x + -3x + 2x2 = -2 + 3x + -3x + 2x2

Combine like terms: 3x + -3x = 0
-5 + 0 + 2x2 = -2 + 3x + -3x + 2x2
-5 + 2x2 = -2 + 3x + -3x + 2x2

Combine like terms: 3x + -3x = 0
-5 + 2x2 = -2 + 0 + 2x2
-5 + 2x2 = -2 + 2x2

Add '-2x2' to each side of the equation.
-5 + 2x2 + -2x2 = -2 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 + 0 = -2 + 2x2 + -2x2
-5 = -2 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 = -2 + 0
-5 = -2

Solving
-5 = -2

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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