(6x^2-4x-29)(4x^2+9x)=

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Solution for (6x^2-4x-29)(4x^2+9x)= equation:


Simplifying
(6x2 + -4x + -29)(4x2 + 9x) = 0

Reorder the terms:
(-29 + -4x + 6x2)(4x2 + 9x) = 0

Reorder the terms:
(-29 + -4x + 6x2)(9x + 4x2) = 0

Multiply (-29 + -4x + 6x2) * (9x + 4x2)
(-29(9x + 4x2) + -4x * (9x + 4x2) + 6x2 * (9x + 4x2)) = 0
((9x * -29 + 4x2 * -29) + -4x * (9x + 4x2) + 6x2 * (9x + 4x2)) = 0
((-261x + -116x2) + -4x * (9x + 4x2) + 6x2 * (9x + 4x2)) = 0
(-261x + -116x2 + (9x * -4x + 4x2 * -4x) + 6x2 * (9x + 4x2)) = 0
(-261x + -116x2 + (-36x2 + -16x3) + 6x2 * (9x + 4x2)) = 0
(-261x + -116x2 + -36x2 + -16x3 + (9x * 6x2 + 4x2 * 6x2)) = 0
(-261x + -116x2 + -36x2 + -16x3 + (54x3 + 24x4)) = 0

Combine like terms: -116x2 + -36x2 = -152x2
(-261x + -152x2 + -16x3 + 54x3 + 24x4) = 0

Combine like terms: -16x3 + 54x3 = 38x3
(-261x + -152x2 + 38x3 + 24x4) = 0

Solving
-261x + -152x2 + 38x3 + 24x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-261 + -152x + 38x2 + 24x3) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-261 + -152x + 38x2 + 24x3)' equal to zero and attempt to solve: Simplifying -261 + -152x + 38x2 + 24x3 = 0 Solving -261 + -152x + 38x2 + 24x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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