6x^2+4x+7=7

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Solution for 6x^2+4x+7=7 equation: 


Simplifying
6x2 + 4x + 7 = 7

Reorder the terms:
7 + 4x + 6x2 = 7

Add '-7' to each side of the equation.
7 + 4x + -7 + 6x2 = 7 + -7

Reorder the terms:
7 + -7 + 4x + 6x2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 4x + 6x2 = 7 + -7
4x + 6x2 = 7 + -7

Combine like terms: 7 + -7 = 0
4x + 6x2 = 0

Solving
4x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + 3x) = 0

Ignore the factor 2.

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 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {0, -0.6666666667}

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