30-2x*40-2x*x=2500

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Solution for 30-2x*40-2x*x=2500 equation: 


Simplifying
30 + -2x * 40 + -2x * x = 2500

Reorder the terms for easier multiplication:
30 + -2 * 40x + -2x * x = 2500

Multiply -2 * 40
30 + -80x + -2x * x = 2500

Multiply x * x
30 + -80x + -2x2 = 2500

Solving
30 + -80x + -2x2 = 2500

Solving for variable 'x'.

Reorder the terms:
30 + -2500 + -80x + -2x2 = 2500 + -2500

Combine like terms: 30 + -2500 = -2470
-2470 + -80x + -2x2 = 2500 + -2500

Combine like terms: 2500 + -2500 = 0
-2470 + -80x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1235 + 40x + x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(1235 + 40x + x2)' equal to zero and attempt to solve:

Simplifying
1235 + 40x + x2 = 0

Solving
1235 + 40x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1235' to each side of the equation.
1235 + 40x + -1235 + x2 = 0 + -1235

Reorder the terms:
1235 + -1235 + 40x + x2 = 0 + -1235

Combine like terms: 1235 + -1235 = 0
0 + 40x + x2 = 0 + -1235
40x + x2 = 0 + -1235

Combine like terms: 0 + -1235 = -1235
40x + x2 = -1235

The x term is 40x.  Take half its coefficient (20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
40x + 400 + x2 = -1235 + 400

Reorder the terms:
400 + 40x + x2 = -1235 + 400

Combine like terms: -1235 + 400 = -835
400 + 40x + x2 = -835

Factor a perfect square on the left side:
(x + 20)(x + 20) = -835

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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