Solve(x+3)(x-5)+(7-2x)(1-x)=12

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Solution for Solve(x+3)(x-5)+(7-2x)(1-x)=12 equation: 


Simplifying
Solve(x + 3)(x + -5) + (7 + -2x)(1 + -1x) = 12

Reorder the terms:
elovS(3 + x)(x + -5) + (7 + -2x)(1 + -1x) = 12

Reorder the terms:
elovS(3 + x)(-5 + x) + (7 + -2x)(1 + -1x) = 12

Multiply (3 + x) * (-5 + x)
elovS(3(-5 + x) + x(-5 + x)) + (7 + -2x)(1 + -1x) = 12
elovS((-5 * 3 + x * 3) + x(-5 + x)) + (7 + -2x)(1 + -1x) = 12
elovS((-15 + 3x) + x(-5 + x)) + (7 + -2x)(1 + -1x) = 12
elovS(-15 + 3x + (-5 * x + x * x)) + (7 + -2x)(1 + -1x) = 12
elovS(-15 + 3x + (-5x + x2)) + (7 + -2x)(1 + -1x) = 12

Combine like terms: 3x + -5x = -2x
elovS(-15 + -2x + x2) + (7 + -2x)(1 + -1x) = 12
(-15 * elovS + -2x * elovS + x2 * elovS) + (7 + -2x)(1 + -1x) = 12
(-15elovS + -2elovxS + elovx2S) + (7 + -2x)(1 + -1x) = 12

Multiply (7 + -2x) * (1 + -1x)
-15elovS + -2elovxS + elovx2S + (7(1 + -1x) + -2x * (1 + -1x)) = 12
-15elovS + -2elovxS + elovx2S + ((1 * 7 + -1x * 7) + -2x * (1 + -1x)) = 12
-15elovS + -2elovxS + elovx2S + ((7 + -7x) + -2x * (1 + -1x)) = 12
-15elovS + -2elovxS + elovx2S + (7 + -7x + (1 * -2x + -1x * -2x)) = 12
-15elovS + -2elovxS + elovx2S + (7 + -7x + (-2x + 2x2)) = 12

Combine like terms: -7x + -2x = -9x
-15elovS + -2elovxS + elovx2S + (7 + -9x + 2x2) = 12

Reorder the terms:
7 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 12

Solving
7 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 12

Solving for variable 'e'.

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

Add '-7' to each side of the equation.
7 + -15elovS + -2elovxS + elovx2S + -9x + -7 + 2x2 = 12 + -7

Reorder the terms:
7 + -7 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 12 + -7

Combine like terms: 7 + -7 = 0
0 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 12 + -7
-15elovS + -2elovxS + elovx2S + -9x + 2x2 = 12 + -7

Combine like terms: 12 + -7 = 5
-15elovS + -2elovxS + elovx2S + -9x + 2x2 = 5

Add '9x' to each side of the equation.
-15elovS + -2elovxS + elovx2S + -9x + 9x + 2x2 = 5 + 9x

Combine like terms: -9x + 9x = 0
-15elovS + -2elovxS + elovx2S + 0 + 2x2 = 5 + 9x
-15elovS + -2elovxS + elovx2S + 2x2 = 5 + 9x

Add '-2x2' to each side of the equation.
-15elovS + -2elovxS + elovx2S + 2x2 + -2x2 = 5 + 9x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-15elovS + -2elovxS + elovx2S + 0 = 5 + 9x + -2x2
-15elovS + -2elovxS + elovx2S = 5 + 9x + -2x2

Reorder the terms:
-5 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 5 + 9x + -2x2 + -5 + -9x + 2x2

Reorder the terms:
-5 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 5 + -5 + 9x + -9x + -2x2 + 2x2

Combine like terms: 5 + -5 = 0
-5 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 0 + 9x + -9x + -2x2 + 2x2
-5 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 9x + -9x + -2x2 + 2x2

Combine like terms: 9x + -9x = 0
-5 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 0 + -2x2 + 2x2
-5 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-5 + -15elovS + -2elovxS + elovx2S + -9x + 2x2 = 0

The solution to this equation could not be determined.

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