2x^4=(2x+40)(x+6)

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Solution for 2x^4=(2x+40)(x+6) equation:


Simplifying
2x4 = (2x + 40)(x + 6)

Reorder the terms:
2x4 = (40 + 2x)(x + 6)

Reorder the terms:
2x4 = (40 + 2x)(6 + x)

Multiply (40 + 2x) * (6 + x)
2x4 = (40(6 + x) + 2x * (6 + x))
2x4 = ((6 * 40 + x * 40) + 2x * (6 + x))
2x4 = ((240 + 40x) + 2x * (6 + x))
2x4 = (240 + 40x + (6 * 2x + x * 2x))
2x4 = (240 + 40x + (12x + 2x2))

Combine like terms: 40x + 12x = 52x
2x4 = (240 + 52x + 2x2)

Solving
2x4 = 240 + 52x + 2x2

Solving for variable 'x'.

Reorder the terms:
-240 + -52x + -2x2 + 2x4 = 240 + 52x + 2x2 + -240 + -52x + -2x2

Reorder the terms:
-240 + -52x + -2x2 + 2x4 = 240 + -240 + 52x + -52x + 2x2 + -2x2

Combine like terms: 240 + -240 = 0
-240 + -52x + -2x2 + 2x4 = 0 + 52x + -52x + 2x2 + -2x2
-240 + -52x + -2x2 + 2x4 = 52x + -52x + 2x2 + -2x2

Combine like terms: 52x + -52x = 0
-240 + -52x + -2x2 + 2x4 = 0 + 2x2 + -2x2
-240 + -52x + -2x2 + 2x4 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-240 + -52x + -2x2 + 2x4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-120 + -26x + -1x2 + x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-120 + -26x + -1x2 + x4)' equal to zero and attempt to solve: Simplifying -120 + -26x + -1x2 + x4 = 0 Solving -120 + -26x + -1x2 + x4 = 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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