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

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Solution for 0=-2x(x+5)+3x equation: 


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

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

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

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

Solving
0 = -7x + -2x2

Solving for variable 'x'.
Remove the zero:
7x + 2x2 = -7x + -2x2 + 7x + 2x2

Reorder the terms:
7x + 2x2 = -7x + 7x + -2x2 + 2x2

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {0, -3.5}

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