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

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


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

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

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

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

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

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

Add '3' to each side of the equation.
-3 + x + 3 + 2x2 = -3 + 1x + 3 + 2x2

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

Combine like terms: -3 + 3 = 0
0 + x + 2x2 = -3 + 1x + 3 + 2x2
x + 2x2 = -3 + 1x + 3 + 2x2

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

Combine like terms: -3 + 3 = 0
x + 2x2 = 0 + 1x + 2x2
x + 2x2 = 1x + 2x2

Add '-2x2' to each side of the equation.
x + 2x2 + -2x2 = 1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
x + 0 = 1x + 2x2 + -2x2
x = 1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
x = 1x + 0
x = 1x

Solving
x = 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
x + -1x = 1x + -1x

Combine like terms: x + -1x = 0
0 = 1x + -1x

Combine like terms: 1x + -1x = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.

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