x^2=4x-140

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Solution for x^2=4x-140 equation:


Simplifying
x2 = 4x + -140

Reorder the terms:
x2 = -140 + 4x

Solving
x2 = -140 + 4x

Solving for variable 'x'.

Reorder the terms:
140 + -4x + x2 = -140 + 4x + 140 + -4x

Reorder the terms:
140 + -4x + x2 = -140 + 140 + 4x + -4x

Combine like terms: -140 + 140 = 0
140 + -4x + x2 = 0 + 4x + -4x
140 + -4x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
140 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-140' to each side of the equation.
140 + -4x + -140 + x2 = 0 + -140

Reorder the terms:
140 + -140 + -4x + x2 = 0 + -140

Combine like terms: 140 + -140 = 0
0 + -4x + x2 = 0 + -140
-4x + x2 = 0 + -140

Combine like terms: 0 + -140 = -140
-4x + x2 = -140

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -140 + 4

Reorder the terms:
4 + -4x + x2 = -140 + 4

Combine like terms: -140 + 4 = -136
4 + -4x + x2 = -136

Factor a perfect square on the left side:
(x + -2)(x + -2) = -136

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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