(x^2+3x-4)(7x+5)=(x^2+3x-4)(2-9x)

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Solution for (x^2+3x-4)(7x+5)=(x^2+3x-4)(2-9x) equation: 


Simplifying
(x2 + 3x + -4)(7x + 5) = (x2 + 3x + -4)(2 + -9x)

Reorder the terms:
(-4 + 3x + x2)(7x + 5) = (x2 + 3x + -4)(2 + -9x)

Reorder the terms:
(-4 + 3x + x2)(5 + 7x) = (x2 + 3x + -4)(2 + -9x)

Multiply (-4 + 3x + x2) * (5 + 7x)
(-4(5 + 7x) + 3x * (5 + 7x) + x2(5 + 7x)) = (x2 + 3x + -4)(2 + -9x)
((5 * -4 + 7x * -4) + 3x * (5 + 7x) + x2(5 + 7x)) = (x2 + 3x + -4)(2 + -9x)
((-20 + -28x) + 3x * (5 + 7x) + x2(5 + 7x)) = (x2 + 3x + -4)(2 + -9x)
(-20 + -28x + (5 * 3x + 7x * 3x) + x2(5 + 7x)) = (x2 + 3x + -4)(2 + -9x)
(-20 + -28x + (15x + 21x2) + x2(5 + 7x)) = (x2 + 3x + -4)(2 + -9x)
(-20 + -28x + 15x + 21x2 + (5 * x2 + 7x * x2)) = (x2 + 3x + -4)(2 + -9x)
(-20 + -28x + 15x + 21x2 + (5x2 + 7x3)) = (x2 + 3x + -4)(2 + -9x)

Combine like terms: -28x + 15x = -13x
(-20 + -13x + 21x2 + 5x2 + 7x3) = (x2 + 3x + -4)(2 + -9x)

Combine like terms: 21x2 + 5x2 = 26x2
(-20 + -13x + 26x2 + 7x3) = (x2 + 3x + -4)(2 + -9x)

Reorder the terms:
-20 + -13x + 26x2 + 7x3 = (-4 + 3x + x2)(2 + -9x)

Multiply (-4 + 3x + x2) * (2 + -9x)
-20 + -13x + 26x2 + 7x3 = (-4(2 + -9x) + 3x * (2 + -9x) + x2(2 + -9x))
-20 + -13x + 26x2 + 7x3 = ((2 * -4 + -9x * -4) + 3x * (2 + -9x) + x2(2 + -9x))
-20 + -13x + 26x2 + 7x3 = ((-8 + 36x) + 3x * (2 + -9x) + x2(2 + -9x))
-20 + -13x + 26x2 + 7x3 = (-8 + 36x + (2 * 3x + -9x * 3x) + x2(2 + -9x))
-20 + -13x + 26x2 + 7x3 = (-8 + 36x + (6x + -27x2) + x2(2 + -9x))
-20 + -13x + 26x2 + 7x3 = (-8 + 36x + 6x + -27x2 + (2 * x2 + -9x * x2))
-20 + -13x + 26x2 + 7x3 = (-8 + 36x + 6x + -27x2 + (2x2 + -9x3))

Combine like terms: 36x + 6x = 42x
-20 + -13x + 26x2 + 7x3 = (-8 + 42x + -27x2 + 2x2 + -9x3)

Combine like terms: -27x2 + 2x2 = -25x2
-20 + -13x + 26x2 + 7x3 = (-8 + 42x + -25x2 + -9x3)

Solving
-20 + -13x + 26x2 + 7x3 = -8 + 42x + -25x2 + -9x3

Solving for variable 'x'.

Reorder the terms:
-20 + 8 + -13x + -42x + 26x2 + 25x2 + 7x3 + 9x3 = -8 + 42x + -25x2 + -9x3 + 8 + -42x + 25x2 + 9x3

Combine like terms: -20 + 8 = -12
-12 + -13x + -42x + 26x2 + 25x2 + 7x3 + 9x3 = -8 + 42x + -25x2 + -9x3 + 8 + -42x + 25x2 + 9x3

Combine like terms: -13x + -42x = -55x
-12 + -55x + 26x2 + 25x2 + 7x3 + 9x3 = -8 + 42x + -25x2 + -9x3 + 8 + -42x + 25x2 + 9x3

Combine like terms: 26x2 + 25x2 = 51x2
-12 + -55x + 51x2 + 7x3 + 9x3 = -8 + 42x + -25x2 + -9x3 + 8 + -42x + 25x2 + 9x3

Combine like terms: 7x3 + 9x3 = 16x3
-12 + -55x + 51x2 + 16x3 = -8 + 42x + -25x2 + -9x3 + 8 + -42x + 25x2 + 9x3

Reorder the terms:
-12 + -55x + 51x2 + 16x3 = -8 + 8 + 42x + -42x + -25x2 + 25x2 + -9x3 + 9x3

Combine like terms: -8 + 8 = 0
-12 + -55x + 51x2 + 16x3 = 0 + 42x + -42x + -25x2 + 25x2 + -9x3 + 9x3
-12 + -55x + 51x2 + 16x3 = 42x + -42x + -25x2 + 25x2 + -9x3 + 9x3

Combine like terms: 42x + -42x = 0
-12 + -55x + 51x2 + 16x3 = 0 + -25x2 + 25x2 + -9x3 + 9x3
-12 + -55x + 51x2 + 16x3 = -25x2 + 25x2 + -9x3 + 9x3

Combine like terms: -25x2 + 25x2 = 0
-12 + -55x + 51x2 + 16x3 = 0 + -9x3 + 9x3
-12 + -55x + 51x2 + 16x3 = -9x3 + 9x3

Combine like terms: -9x3 + 9x3 = 0
-12 + -55x + 51x2 + 16x3 = 0

The solution to this equation could not be determined.

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