280=(18-x)(15+x)

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Solution for 280=(18-x)(15+x) equation: 


Simplifying
280 = (18 + -1x)(15 + x)

Multiply (18 + -1x) * (15 + x)
280 = (18(15 + x) + -1x * (15 + x))
280 = ((15 * 18 + x * 18) + -1x * (15 + x))
280 = ((270 + 18x) + -1x * (15 + x))
280 = (270 + 18x + (15 * -1x + x * -1x))
280 = (270 + 18x + (-15x + -1x2))

Combine like terms: 18x + -15x = 3x
280 = (270 + 3x + -1x2)

Solving
280 = 270 + 3x + -1x2

Solving for variable 'x'.

Combine like terms: 280 + -270 = 10
10 + -3x + x2 = 270 + 3x + -1x2 + -270 + -3x + x2

Reorder the terms:
10 + -3x + x2 = 270 + -270 + 3x + -3x + -1x2 + x2

Combine like terms: 270 + -270 = 0
10 + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
10 + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
10 + -3x + x2 = 0 + -1x2 + x2
10 + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
10 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -3x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -3x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x + x2 = 0 + -10
-3x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3x + x2 = -10

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -10 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + -3x + x2 = -7.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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