(4x^2+5x-6)(5x^2-2x+7)=

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Solution for (4x^2+5x-6)(5x^2-2x+7)= equation: 


Simplifying
(4x2 + 5x + -6)(5x2 + -2x + 7) = 0

Reorder the terms:
(-6 + 5x + 4x2)(5x2 + -2x + 7) = 0

Reorder the terms:
(-6 + 5x + 4x2)(7 + -2x + 5x2) = 0

Multiply (-6 + 5x + 4x2) * (7 + -2x + 5x2)
(-6(7 + -2x + 5x2) + 5x * (7 + -2x + 5x2) + 4x2 * (7 + -2x + 5x2)) = 0
((7 * -6 + -2x * -6 + 5x2 * -6) + 5x * (7 + -2x + 5x2) + 4x2 * (7 + -2x + 5x2)) = 0
((-42 + 12x + -30x2) + 5x * (7 + -2x + 5x2) + 4x2 * (7 + -2x + 5x2)) = 0
(-42 + 12x + -30x2 + (7 * 5x + -2x * 5x + 5x2 * 5x) + 4x2 * (7 + -2x + 5x2)) = 0
(-42 + 12x + -30x2 + (35x + -10x2 + 25x3) + 4x2 * (7 + -2x + 5x2)) = 0
(-42 + 12x + -30x2 + 35x + -10x2 + 25x3 + (7 * 4x2 + -2x * 4x2 + 5x2 * 4x2)) = 0
(-42 + 12x + -30x2 + 35x + -10x2 + 25x3 + (28x2 + -8x3 + 20x4)) = 0

Reorder the terms:
(-42 + 12x + 35x + -30x2 + -10x2 + 28x2 + 25x3 + -8x3 + 20x4) = 0

Combine like terms: 12x + 35x = 47x
(-42 + 47x + -30x2 + -10x2 + 28x2 + 25x3 + -8x3 + 20x4) = 0

Combine like terms: -30x2 + -10x2 = -40x2
(-42 + 47x + -40x2 + 28x2 + 25x3 + -8x3 + 20x4) = 0

Combine like terms: -40x2 + 28x2 = -12x2
(-42 + 47x + -12x2 + 25x3 + -8x3 + 20x4) = 0

Combine like terms: 25x3 + -8x3 = 17x3
(-42 + 47x + -12x2 + 17x3 + 20x4) = 0

Solving
-42 + 47x + -12x2 + 17x3 + 20x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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