(-x^2+5x-6)(x^2-7x-8)=0

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Solution for (-x^2+5x-6)(x^2-7x-8)=0 equation:


Simplifying
(-1x2 + 5x + -6)(x2 + -7x + -8) = 0

Reorder the terms:
(-6 + 5x + -1x2)(x2 + -7x + -8) = 0

Reorder the terms:
(-6 + 5x + -1x2)(-8 + -7x + x2) = 0

Multiply (-6 + 5x + -1x2) * (-8 + -7x + x2)
(-6(-8 + -7x + x2) + 5x * (-8 + -7x + x2) + -1x2 * (-8 + -7x + x2)) = 0
((-8 * -6 + -7x * -6 + x2 * -6) + 5x * (-8 + -7x + x2) + -1x2 * (-8 + -7x + x2)) = 0
((48 + 42x + -6x2) + 5x * (-8 + -7x + x2) + -1x2 * (-8 + -7x + x2)) = 0
(48 + 42x + -6x2 + (-8 * 5x + -7x * 5x + x2 * 5x) + -1x2 * (-8 + -7x + x2)) = 0
(48 + 42x + -6x2 + (-40x + -35x2 + 5x3) + -1x2 * (-8 + -7x + x2)) = 0
(48 + 42x + -6x2 + -40x + -35x2 + 5x3 + (-8 * -1x2 + -7x * -1x2 + x2 * -1x2)) = 0
(48 + 42x + -6x2 + -40x + -35x2 + 5x3 + (8x2 + 7x3 + -1x4)) = 0

Reorder the terms:
(48 + 42x + -40x + -6x2 + -35x2 + 8x2 + 5x3 + 7x3 + -1x4) = 0

Combine like terms: 42x + -40x = 2x
(48 + 2x + -6x2 + -35x2 + 8x2 + 5x3 + 7x3 + -1x4) = 0

Combine like terms: -6x2 + -35x2 = -41x2
(48 + 2x + -41x2 + 8x2 + 5x3 + 7x3 + -1x4) = 0

Combine like terms: -41x2 + 8x2 = -33x2
(48 + 2x + -33x2 + 5x3 + 7x3 + -1x4) = 0

Combine like terms: 5x3 + 7x3 = 12x3
(48 + 2x + -33x2 + 12x3 + -1x4) = 0

Solving
48 + 2x + -33x2 + 12x3 + -1x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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