(4x^2+2x-7)(3x^2+4x+14)-(7x^2-11)=

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Solution for (4x^2+2x-7)(3x^2+4x+14)-(7x^2-11)= equation:


Simplifying
(4x2 + 2x + -7)(3x2 + 4x + 14) + -1(7x2 + -11) = 0

Reorder the terms:
(-7 + 2x + 4x2)(3x2 + 4x + 14) + -1(7x2 + -11) = 0

Reorder the terms:
(-7 + 2x + 4x2)(14 + 4x + 3x2) + -1(7x2 + -11) = 0

Multiply (-7 + 2x + 4x2) * (14 + 4x + 3x2)
(-7(14 + 4x + 3x2) + 2x * (14 + 4x + 3x2) + 4x2 * (14 + 4x + 3x2)) + -1(7x2 + -11) = 0
((14 * -7 + 4x * -7 + 3x2 * -7) + 2x * (14 + 4x + 3x2) + 4x2 * (14 + 4x + 3x2)) + -1(7x2 + -11) = 0
((-98 + -28x + -21x2) + 2x * (14 + 4x + 3x2) + 4x2 * (14 + 4x + 3x2)) + -1(7x2 + -11) = 0
(-98 + -28x + -21x2 + (14 * 2x + 4x * 2x + 3x2 * 2x) + 4x2 * (14 + 4x + 3x2)) + -1(7x2 + -11) = 0
(-98 + -28x + -21x2 + (28x + 8x2 + 6x3) + 4x2 * (14 + 4x + 3x2)) + -1(7x2 + -11) = 0
(-98 + -28x + -21x2 + 28x + 8x2 + 6x3 + (14 * 4x2 + 4x * 4x2 + 3x2 * 4x2)) + -1(7x2 + -11) = 0
(-98 + -28x + -21x2 + 28x + 8x2 + 6x3 + (56x2 + 16x3 + 12x4)) + -1(7x2 + -11) = 0

Reorder the terms:
(-98 + -28x + 28x + -21x2 + 8x2 + 56x2 + 6x3 + 16x3 + 12x4) + -1(7x2 + -11) = 0

Combine like terms: -28x + 28x = 0
(-98 + 0 + -21x2 + 8x2 + 56x2 + 6x3 + 16x3 + 12x4) + -1(7x2 + -11) = 0
(-98 + -21x2 + 8x2 + 56x2 + 6x3 + 16x3 + 12x4) + -1(7x2 + -11) = 0

Combine like terms: -21x2 + 8x2 = -13x2
(-98 + -13x2 + 56x2 + 6x3 + 16x3 + 12x4) + -1(7x2 + -11) = 0

Combine like terms: -13x2 + 56x2 = 43x2
(-98 + 43x2 + 6x3 + 16x3 + 12x4) + -1(7x2 + -11) = 0

Combine like terms: 6x3 + 16x3 = 22x3
(-98 + 43x2 + 22x3 + 12x4) + -1(7x2 + -11) = 0

Reorder the terms:
-98 + 43x2 + 22x3 + 12x4 + -1(-11 + 7x2) = 0
-98 + 43x2 + 22x3 + 12x4 + (-11 * -1 + 7x2 * -1) = 0
-98 + 43x2 + 22x3 + 12x4 + (11 + -7x2) = 0

Reorder the terms:
-98 + 11 + 43x2 + -7x2 + 22x3 + 12x4 = 0

Combine like terms: -98 + 11 = -87
-87 + 43x2 + -7x2 + 22x3 + 12x4 = 0

Combine like terms: 43x2 + -7x2 = 36x2
-87 + 36x2 + 22x3 + 12x4 = 0

Solving
-87 + 36x2 + 22x3 + 12x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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