0=-x^2+15x-140

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Solution for 0=-x^2+15x-140 equation:


Simplifying
0 = -1x2 + 15x + -140

Reorder the terms:
0 = -140 + 15x + -1x2

Solving
0 = -140 + 15x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + 140 = 140
140 + -15x + x2 = -140 + 15x + -1x2 + 140 + -15x + x2

Reorder the terms:
140 + -15x + x2 = -140 + 140 + 15x + -15x + -1x2 + x2

Combine like terms: -140 + 140 = 0
140 + -15x + x2 = 0 + 15x + -15x + -1x2 + x2
140 + -15x + x2 = 15x + -15x + -1x2 + x2

Combine like terms: 15x + -15x = 0
140 + -15x + x2 = 0 + -1x2 + x2
140 + -15x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
140 + -15x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-140' to each side of the equation.
140 + -15x + -140 + x2 = 0 + -140

Reorder the terms:
140 + -140 + -15x + x2 = 0 + -140

Combine like terms: 140 + -140 = 0
0 + -15x + x2 = 0 + -140
-15x + x2 = 0 + -140

Combine like terms: 0 + -140 = -140
-15x + x2 = -140

The x term is -15x.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15x + 56.25 + x2 = -140 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -140 + 56.25

Combine like terms: -140 + 56.25 = -83.75
56.25 + -15x + x2 = -83.75

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -83.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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