5x(x+2)-3(x-1)=

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Solution for 5x(x+2)-3(x-1)= equation:


Simplifying
5x(x + 2) + -3(x + -1) = 0

Reorder the terms:
5x(2 + x) + -3(x + -1) = 0
(2 * 5x + x * 5x) + -3(x + -1) = 0
(10x + 5x2) + -3(x + -1) = 0

Reorder the terms:
10x + 5x2 + -3(-1 + x) = 0
10x + 5x2 + (-1 * -3 + x * -3) = 0
10x + 5x2 + (3 + -3x) = 0

Reorder the terms:
3 + 10x + -3x + 5x2 = 0

Combine like terms: 10x + -3x = 7x
3 + 7x + 5x2 = 0

Solving
3 + 7x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
0.6 + 1.4x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 1.4x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 1.4x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 1.4x + x2 = 0 + -0.6
1.4x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
1.4x + x2 = -0.6

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = -0.6 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = -0.6 + 0.49

Combine like terms: -0.6 + 0.49 = -0.11
0.49 + 1.4x + x2 = -0.11

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = -0.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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