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Simplifying
x2 + 6x + 9 + x2 = 4x2 + 6x + 9
Reorder the terms:
9 + 6x + x2 + x2 = 4x2 + 6x + 9
Combine like terms: x2 + x2 = 2x2
9 + 6x + 2x2 = 4x2 + 6x + 9
Reorder the terms:
9 + 6x + 2x2 = 9 + 6x + 4x2
Add '-9' to each side of the equation.
9 + 6x + -9 + 2x2 = 9 + 6x + -9 + 4x2
Reorder the terms:
9 + -9 + 6x + 2x2 = 9 + 6x + -9 + 4x2
Combine like terms: 9 + -9 = 0
0 + 6x + 2x2 = 9 + 6x + -9 + 4x2
6x + 2x2 = 9 + 6x + -9 + 4x2
Reorder the terms:
6x + 2x2 = 9 + -9 + 6x + 4x2
Combine like terms: 9 + -9 = 0
6x + 2x2 = 0 + 6x + 4x2
6x + 2x2 = 6x + 4x2
Add '-6x' to each side of the equation.
6x + -6x + 2x2 = 6x + -6x + 4x2
Combine like terms: 6x + -6x = 0
0 + 2x2 = 6x + -6x + 4x2
2x2 = 6x + -6x + 4x2
Combine like terms: 6x + -6x = 0
2x2 = 0 + 4x2
2x2 = 4x2
Solving
2x2 = 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
2x2 + -4x2 = 4x2 + -4x2
Combine like terms: 2x2 + -4x2 = -2x2
-2x2 = 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-2x2 = 0
Divide each side by '-2'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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