(x^2-3x+2)(x^2+5x-6)=0

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Solution for (x^2-3x+2)(x^2+5x-6)=0 equation:


Simplifying
(x2 + -3x + 2)(x2 + 5x + -6) = 0

Reorder the terms:
(2 + -3x + x2)(x2 + 5x + -6) = 0

Reorder the terms:
(2 + -3x + x2)(-6 + 5x + x2) = 0

Multiply (2 + -3x + x2) * (-6 + 5x + x2)
(2(-6 + 5x + x2) + -3x * (-6 + 5x + x2) + x2(-6 + 5x + x2)) = 0
((-6 * 2 + 5x * 2 + x2 * 2) + -3x * (-6 + 5x + x2) + x2(-6 + 5x + x2)) = 0
((-12 + 10x + 2x2) + -3x * (-6 + 5x + x2) + x2(-6 + 5x + x2)) = 0
(-12 + 10x + 2x2 + (-6 * -3x + 5x * -3x + x2 * -3x) + x2(-6 + 5x + x2)) = 0
(-12 + 10x + 2x2 + (18x + -15x2 + -3x3) + x2(-6 + 5x + x2)) = 0
(-12 + 10x + 2x2 + 18x + -15x2 + -3x3 + (-6 * x2 + 5x * x2 + x2 * x2)) = 0
(-12 + 10x + 2x2 + 18x + -15x2 + -3x3 + (-6x2 + 5x3 + x4)) = 0

Reorder the terms:
(-12 + 10x + 18x + 2x2 + -15x2 + -6x2 + -3x3 + 5x3 + x4) = 0

Combine like terms: 10x + 18x = 28x
(-12 + 28x + 2x2 + -15x2 + -6x2 + -3x3 + 5x3 + x4) = 0

Combine like terms: 2x2 + -15x2 = -13x2
(-12 + 28x + -13x2 + -6x2 + -3x3 + 5x3 + x4) = 0

Combine like terms: -13x2 + -6x2 = -19x2
(-12 + 28x + -19x2 + -3x3 + 5x3 + x4) = 0

Combine like terms: -3x3 + 5x3 = 2x3
(-12 + 28x + -19x2 + 2x3 + x4) = 0

Solving
-12 + 28x + -19x2 + 2x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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