2x^2=4(x-5)

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Solution for 2x^2=4(x-5) equation: 


Simplifying
2x2 = 4(x + -5)

Reorder the terms:
2x2 = 4(-5 + x)
2x2 = (-5 * 4 + x * 4)
2x2 = (-20 + 4x)

Solving
2x2 = -20 + 4x

Solving for variable 'x'.

Reorder the terms:
20 + -4x + 2x2 = -20 + 4x + 20 + -4x

Reorder the terms:
20 + -4x + 2x2 = -20 + 20 + 4x + -4x

Combine like terms: -20 + 20 = 0
20 + -4x + 2x2 = 0 + 4x + -4x
20 + -4x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
10 + -2x + x2 = 0

Solving
10 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -2x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -2x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2x + x2 = 0 + -10
-2x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-2x + x2 = -10

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -10 + 1

Reorder the terms:
1 + -2x + x2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + -2x + x2 = -9

Factor a perfect square on the left side:
(x + -1)(x + -1) = -9

Can't calculate square root of the right side.

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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