7x^2+5x=3x+2x^2

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Solution for 7x^2+5x=3x+2x^2 equation: 


Simplifying
7x2 + 5x = 3x + 2x2

Reorder the terms:
5x + 7x2 = 3x + 2x2

Solving
5x + 7x2 = 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
5x + -3x + 7x2 + -2x2 = 3x + 2x2 + -3x + -2x2

Combine like terms: 5x + -3x = 2x
2x + 7x2 + -2x2 = 3x + 2x2 + -3x + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
2x + 5x2 = 3x + 2x2 + -3x + -2x2

Reorder the terms:
2x + 5x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
2x + 5x2 = 0 + 2x2 + -2x2
2x + 5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + 5x) = 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 '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {0, -0.4}

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