(x^2+5x-7)(x^2-x+4)-(x+2)(x-3)=

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Solution for (x^2+5x-7)(x^2-x+4)-(x+2)(x-3)= equation: 


Simplifying
(x2 + 5x + -7)(x2 + -1x + 4) + -1(x + 2)(x + -3) = 0

Reorder the terms:
(-7 + 5x + x2)(x2 + -1x + 4) + -1(x + 2)(x + -3) = 0

Reorder the terms:
(-7 + 5x + x2)(4 + -1x + x2) + -1(x + 2)(x + -3) = 0

Multiply (-7 + 5x + x2) * (4 + -1x + x2)
(-7(4 + -1x + x2) + 5x * (4 + -1x + x2) + x2(4 + -1x + x2)) + -1(x + 2)(x + -3) = 0
((4 * -7 + -1x * -7 + x2 * -7) + 5x * (4 + -1x + x2) + x2(4 + -1x + x2)) + -1(x + 2)(x + -3) = 0
((-28 + 7x + -7x2) + 5x * (4 + -1x + x2) + x2(4 + -1x + x2)) + -1(x + 2)(x + -3) = 0
(-28 + 7x + -7x2 + (4 * 5x + -1x * 5x + x2 * 5x) + x2(4 + -1x + x2)) + -1(x + 2)(x + -3) = 0
(-28 + 7x + -7x2 + (20x + -5x2 + 5x3) + x2(4 + -1x + x2)) + -1(x + 2)(x + -3) = 0
(-28 + 7x + -7x2 + 20x + -5x2 + 5x3 + (4 * x2 + -1x * x2 + x2 * x2)) + -1(x + 2)(x + -3) = 0
(-28 + 7x + -7x2 + 20x + -5x2 + 5x3 + (4x2 + -1x3 + x4)) + -1(x + 2)(x + -3) = 0

Reorder the terms:
(-28 + 7x + 20x + -7x2 + -5x2 + 4x2 + 5x3 + -1x3 + x4) + -1(x + 2)(x + -3) = 0

Combine like terms: 7x + 20x = 27x
(-28 + 27x + -7x2 + -5x2 + 4x2 + 5x3 + -1x3 + x4) + -1(x + 2)(x + -3) = 0

Combine like terms: -7x2 + -5x2 = -12x2
(-28 + 27x + -12x2 + 4x2 + 5x3 + -1x3 + x4) + -1(x + 2)(x + -3) = 0

Combine like terms: -12x2 + 4x2 = -8x2
(-28 + 27x + -8x2 + 5x3 + -1x3 + x4) + -1(x + 2)(x + -3) = 0

Combine like terms: 5x3 + -1x3 = 4x3
(-28 + 27x + -8x2 + 4x3 + x4) + -1(x + 2)(x + -3) = 0

Reorder the terms:
-28 + 27x + -8x2 + 4x3 + x4 + -1(2 + x)(x + -3) = 0

Reorder the terms:
-28 + 27x + -8x2 + 4x3 + x4 + -1(2 + x)(-3 + x) = 0

Multiply (2 + x) * (-3 + x)
-28 + 27x + -8x2 + 4x3 + x4 + -1(2(-3 + x) + x(-3 + x)) = 0
-28 + 27x + -8x2 + 4x3 + x4 + -1((-3 * 2 + x * 2) + x(-3 + x)) = 0
-28 + 27x + -8x2 + 4x3 + x4 + -1((-6 + 2x) + x(-3 + x)) = 0
-28 + 27x + -8x2 + 4x3 + x4 + -1(-6 + 2x + (-3 * x + x * x)) = 0
-28 + 27x + -8x2 + 4x3 + x4 + -1(-6 + 2x + (-3x + x2)) = 0

Combine like terms: 2x + -3x = -1x
-28 + 27x + -8x2 + 4x3 + x4 + -1(-6 + -1x + x2) = 0
-28 + 27x + -8x2 + 4x3 + x4 + (-6 * -1 + -1x * -1 + x2 * -1) = 0
-28 + 27x + -8x2 + 4x3 + x4 + (6 + 1x + -1x2) = 0

Reorder the terms:
-28 + 6 + 27x + 1x + -8x2 + -1x2 + 4x3 + x4 = 0

Combine like terms: -28 + 6 = -22
-22 + 27x + 1x + -8x2 + -1x2 + 4x3 + x4 = 0

Combine like terms: 27x + 1x = 28x
-22 + 28x + -8x2 + -1x2 + 4x3 + x4 = 0

Combine like terms: -8x2 + -1x2 = -9x2
-22 + 28x + -9x2 + 4x3 + x4 = 0

Solving
-22 + 28x + -9x2 + 4x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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