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

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Solution for 4(x-3)+(x-1)(x+2)=x^2-5(3-x) equation: 


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

Reorder the terms:
4(-3 + x) + (x + -1)(x + 2) = x2 + -5(3 + -1x)
(-3 * 4 + x * 4) + (x + -1)(x + 2) = x2 + -5(3 + -1x)
(-12 + 4x) + (x + -1)(x + 2) = x2 + -5(3 + -1x)

Reorder the terms:
-12 + 4x + (-1 + x)(x + 2) = x2 + -5(3 + -1x)

Reorder the terms:
-12 + 4x + (-1 + x)(2 + x) = x2 + -5(3 + -1x)

Multiply (-1 + x) * (2 + x)
-12 + 4x + (-1(2 + x) + x(2 + x)) = x2 + -5(3 + -1x)
-12 + 4x + ((2 * -1 + x * -1) + x(2 + x)) = x2 + -5(3 + -1x)
-12 + 4x + ((-2 + -1x) + x(2 + x)) = x2 + -5(3 + -1x)
-12 + 4x + (-2 + -1x + (2 * x + x * x)) = x2 + -5(3 + -1x)
-12 + 4x + (-2 + -1x + (2x + x2)) = x2 + -5(3 + -1x)

Combine like terms: -1x + 2x = 1x
-12 + 4x + (-2 + 1x + x2) = x2 + -5(3 + -1x)

Reorder the terms:
-12 + -2 + 4x + 1x + x2 = x2 + -5(3 + -1x)

Combine like terms: -12 + -2 = -14
-14 + 4x + 1x + x2 = x2 + -5(3 + -1x)

Combine like terms: 4x + 1x = 5x
-14 + 5x + x2 = x2 + -5(3 + -1x)
-14 + 5x + x2 = x2 + (3 * -5 + -1x * -5)
-14 + 5x + x2 = x2 + (-15 + 5x)

Reorder the terms:
-14 + 5x + x2 = -15 + 5x + x2

Add '-5x' to each side of the equation.
-14 + 5x + -5x + x2 = -15 + 5x + -5x + x2

Combine like terms: 5x + -5x = 0
-14 + 0 + x2 = -15 + 5x + -5x + x2
-14 + x2 = -15 + 5x + -5x + x2

Combine like terms: 5x + -5x = 0
-14 + x2 = -15 + 0 + x2
-14 + x2 = -15 + x2

Add '-1x2' to each side of the equation.
-14 + x2 + -1x2 = -15 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + 0 = -15 + x2 + -1x2
-14 = -15 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 = -15 + 0
-14 = -15

Solving
-14 = -15

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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