100=4x^2-16y^2-40x

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Solution for 100=4x^2-16y^2-40x equation:


Simplifying
100 = 4x2 + -16y2 + -40x

Reorder the terms:
100 = -40x + 4x2 + -16y2

Solving
100 = -40x + 4x2 + -16y2

Solving for variable 'x'.

Reorder the terms:
100 + 40x + -4x2 + 16y2 = -40x + 40x + 4x2 + -4x2 + -16y2 + 16y2

Combine like terms: -40x + 40x = 0
100 + 40x + -4x2 + 16y2 = 0 + 4x2 + -4x2 + -16y2 + 16y2
100 + 40x + -4x2 + 16y2 = 4x2 + -4x2 + -16y2 + 16y2

Combine like terms: 4x2 + -4x2 = 0
100 + 40x + -4x2 + 16y2 = 0 + -16y2 + 16y2
100 + 40x + -4x2 + 16y2 = -16y2 + 16y2

Combine like terms: -16y2 + 16y2 = 0
100 + 40x + -4x2 + 16y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(25 + 10x + -1x2 + 4y2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(25 + 10x + -1x2 + 4y2)' equal to zero and attempt to solve: Simplifying 25 + 10x + -1x2 + 4y2 = 0 Solving 25 + 10x + -1x2 + 4y2 = 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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