-3x^2+6x+7=7

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Solution for -3x^2+6x+7=7 equation: 


Simplifying
-3x2 + 6x + 7 = 7

Reorder the terms:
7 + 6x + -3x2 = 7

Add '-7' to each side of the equation.
7 + 6x + -7 + -3x2 = 7 + -7

Reorder the terms:
7 + -7 + 6x + -3x2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 6x + -3x2 = 7 + -7
6x + -3x2 = 7 + -7

Combine like terms: 7 + -7 = 0
6x + -3x2 = 0

Solving
6x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2 + -1x) = 0

Ignore the factor 3.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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