(3x^2-4)(3x^2-4)-(6x-7)(6x-7)=

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Solution for (3x^2-4)(3x^2-4)-(6x-7)(6x-7)= equation:


Simplifying
(3x2 + -4)(3x2 + -4) + -1(6x + -7)(6x + -7) = 0

Reorder the terms:
(-4 + 3x2)(3x2 + -4) + -1(6x + -7)(6x + -7) = 0

Reorder the terms:
(-4 + 3x2)(-4 + 3x2) + -1(6x + -7)(6x + -7) = 0

Multiply (-4 + 3x2) * (-4 + 3x2)
(-4(-4 + 3x2) + 3x2 * (-4 + 3x2)) + -1(6x + -7)(6x + -7) = 0
((-4 * -4 + 3x2 * -4) + 3x2 * (-4 + 3x2)) + -1(6x + -7)(6x + -7) = 0
((16 + -12x2) + 3x2 * (-4 + 3x2)) + -1(6x + -7)(6x + -7) = 0
(16 + -12x2 + (-4 * 3x2 + 3x2 * 3x2)) + -1(6x + -7)(6x + -7) = 0
(16 + -12x2 + (-12x2 + 9x4)) + -1(6x + -7)(6x + -7) = 0

Combine like terms: -12x2 + -12x2 = -24x2
(16 + -24x2 + 9x4) + -1(6x + -7)(6x + -7) = 0

Reorder the terms:
16 + -24x2 + 9x4 + -1(-7 + 6x)(6x + -7) = 0

Reorder the terms:
16 + -24x2 + 9x4 + -1(-7 + 6x)(-7 + 6x) = 0

Multiply (-7 + 6x) * (-7 + 6x)
16 + -24x2 + 9x4 + -1(-7(-7 + 6x) + 6x * (-7 + 6x)) = 0
16 + -24x2 + 9x4 + -1((-7 * -7 + 6x * -7) + 6x * (-7 + 6x)) = 0
16 + -24x2 + 9x4 + -1((49 + -42x) + 6x * (-7 + 6x)) = 0
16 + -24x2 + 9x4 + -1(49 + -42x + (-7 * 6x + 6x * 6x)) = 0
16 + -24x2 + 9x4 + -1(49 + -42x + (-42x + 36x2)) = 0

Combine like terms: -42x + -42x = -84x
16 + -24x2 + 9x4 + -1(49 + -84x + 36x2) = 0
16 + -24x2 + 9x4 + (49 * -1 + -84x * -1 + 36x2 * -1) = 0
16 + -24x2 + 9x4 + (-49 + 84x + -36x2) = 0

Reorder the terms:
16 + -49 + 84x + -24x2 + -36x2 + 9x4 = 0

Combine like terms: 16 + -49 = -33
-33 + 84x + -24x2 + -36x2 + 9x4 = 0

Combine like terms: -24x2 + -36x2 = -60x2
-33 + 84x + -60x2 + 9x4 = 0

Solving
-33 + 84x + -60x2 + 9x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-11 + 28x + -20x2 + 3x4) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-11 + 28x + -20x2 + 3x4)' equal to zero and attempt to solve: Simplifying -11 + 28x + -20x2 + 3x4 = 0 Solving -11 + 28x + -20x2 + 3x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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