2x(x+5)-3(x-4)=

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Solution for 2x(x+5)-3(x-4)= equation:


Simplifying
2x(x + 5) + -3(x + -4) = 0

Reorder the terms:
2x(5 + x) + -3(x + -4) = 0
(5 * 2x + x * 2x) + -3(x + -4) = 0
(10x + 2x2) + -3(x + -4) = 0

Reorder the terms:
10x + 2x2 + -3(-4 + x) = 0
10x + 2x2 + (-4 * -3 + x * -3) = 0
10x + 2x2 + (12 + -3x) = 0

Reorder the terms:
12 + 10x + -3x + 2x2 = 0

Combine like terms: 10x + -3x = 7x
12 + 7x + 2x2 = 0

Solving
12 + 7x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
6 + 3.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 3.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3.5x + x2 = 0 + -6
3.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
3.5x + x2 = -6

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = -6 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = -6 + 3.0625

Combine like terms: -6 + 3.0625 = -2.9375
3.0625 + 3.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + 1.75)(x + 1.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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