(4x^2-2x-4)(7x^2+8x+7)=0

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Solution for (4x^2-2x-4)(7x^2+8x+7)=0 equation: 


Simplifying
(4x2 + -2x + -4)(7x2 + 8x + 7) = 0

Reorder the terms:
(-4 + -2x + 4x2)(7x2 + 8x + 7) = 0

Reorder the terms:
(-4 + -2x + 4x2)(7 + 8x + 7x2) = 0

Multiply (-4 + -2x + 4x2) * (7 + 8x + 7x2)
(-4(7 + 8x + 7x2) + -2x * (7 + 8x + 7x2) + 4x2 * (7 + 8x + 7x2)) = 0
((7 * -4 + 8x * -4 + 7x2 * -4) + -2x * (7 + 8x + 7x2) + 4x2 * (7 + 8x + 7x2)) = 0
((-28 + -32x + -28x2) + -2x * (7 + 8x + 7x2) + 4x2 * (7 + 8x + 7x2)) = 0
(-28 + -32x + -28x2 + (7 * -2x + 8x * -2x + 7x2 * -2x) + 4x2 * (7 + 8x + 7x2)) = 0
(-28 + -32x + -28x2 + (-14x + -16x2 + -14x3) + 4x2 * (7 + 8x + 7x2)) = 0
(-28 + -32x + -28x2 + -14x + -16x2 + -14x3 + (7 * 4x2 + 8x * 4x2 + 7x2 * 4x2)) = 0
(-28 + -32x + -28x2 + -14x + -16x2 + -14x3 + (28x2 + 32x3 + 28x4)) = 0

Reorder the terms:
(-28 + -32x + -14x + -28x2 + -16x2 + 28x2 + -14x3 + 32x3 + 28x4) = 0

Combine like terms: -32x + -14x = -46x
(-28 + -46x + -28x2 + -16x2 + 28x2 + -14x3 + 32x3 + 28x4) = 0

Combine like terms: -28x2 + -16x2 = -44x2
(-28 + -46x + -44x2 + 28x2 + -14x3 + 32x3 + 28x4) = 0

Combine like terms: -44x2 + 28x2 = -16x2
(-28 + -46x + -16x2 + -14x3 + 32x3 + 28x4) = 0

Combine like terms: -14x3 + 32x3 = 18x3
(-28 + -46x + -16x2 + 18x3 + 28x4) = 0

Solving
-28 + -46x + -16x2 + 18x3 + 28x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + -23x + -8x2 + 9x3 + 14x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-14 + -23x + -8x2 + 9x3 + 14x4)' equal to zero and attempt to solve:

Simplifying
-14 + -23x + -8x2 + 9x3 + 14x4 = 0

Solving
-14 + -23x + -8x2 + 9x3 + 14x4 = 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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