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Simplifying
9x2 + -12 = 4x2 + 7
Reorder the terms:
-12 + 9x2 = 4x2 + 7
Reorder the terms:
-12 + 9x2 = 7 + 4x2
Solving
-12 + 9x2 = 7 + 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.
-12 + 9x2 + -4x2 = 7 + 4x2 + -4x2
Combine like terms: 9x2 + -4x2 = 5x2
-12 + 5x2 = 7 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-12 + 5x2 = 7 + 0
-12 + 5x2 = 7
Add '12' to each side of the equation.
-12 + 12 + 5x2 = 7 + 12
Combine like terms: -12 + 12 = 0
0 + 5x2 = 7 + 12
5x2 = 7 + 12
Combine like terms: 7 + 12 = 19
5x2 = 19
Divide each side by '5'.
x2 = 3.8
Simplifying
x2 = 3.8
Take the square root of each side:
x = {-1.949358869, 1.949358869}
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