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Simplifying
6x2 + 9 = 2(x2 + 9)
Reorder the terms:
9 + 6x2 = 2(x2 + 9)
Reorder the terms:
9 + 6x2 = 2(9 + x2)
9 + 6x2 = (9 * 2 + x2 * 2)
9 + 6x2 = (18 + 2x2)
Solving
9 + 6x2 = 18 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
9 + 6x2 + -2x2 = 18 + 2x2 + -2x2
Combine like terms: 6x2 + -2x2 = 4x2
9 + 4x2 = 18 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
9 + 4x2 = 18 + 0
9 + 4x2 = 18
Add '-9' to each side of the equation.
9 + -9 + 4x2 = 18 + -9
Combine like terms: 9 + -9 = 0
0 + 4x2 = 18 + -9
4x2 = 18 + -9
Combine like terms: 18 + -9 = 9
4x2 = 9
Divide each side by '4'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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