3X+2X-X(X+25)=380

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Solution for 3X+2X-X(X+25)=380 equation:


Simplifying
3X + 2X + -1X(X + 25) = 380

Reorder the terms:
3X + 2X + -1X(25 + X) = 380
3X + 2X + (25 * -1X + X * -1X) = 380
3X + 2X + (-25X + -1X2) = 380

Combine like terms: 3X + 2X = 5X
5X + -25X + -1X2 = 380

Combine like terms: 5X + -25X = -20X
-20X + -1X2 = 380

Solving
-20X + -1X2 = 380

Solving for variable 'X'.

Reorder the terms:
-380 + -20X + -1X2 = 380 + -380

Combine like terms: 380 + -380 = 0
-380 + -20X + -1X2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(380 + 20X + X2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(380 + 20X + X2)' equal to zero and attempt to solve:

Simplifying
380 + 20X + X2 = 0

Solving
380 + 20X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-380' to each side of the equation.
380 + 20X + -380 + X2 = 0 + -380

Reorder the terms:
380 + -380 + 20X + X2 = 0 + -380

Combine like terms: 380 + -380 = 0
0 + 20X + X2 = 0 + -380
20X + X2 = 0 + -380

Combine like terms: 0 + -380 = -380
20X + X2 = -380

The X term is 20X.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20X + 100 + X2 = -380 + 100

Reorder the terms:
100 + 20X + X2 = -380 + 100

Combine like terms: -380 + 100 = -280
100 + 20X + X2 = -280

Factor a perfect square on the left side:
(X + 10)(X + 10) = -280

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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