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Simplifying
8x2 + -7 = 4x2 + 9
Reorder the terms:
-7 + 8x2 = 4x2 + 9
Reorder the terms:
-7 + 8x2 = 9 + 4x2
Solving
-7 + 8x2 = 9 + 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.
-7 + 8x2 + -4x2 = 9 + 4x2 + -4x2
Combine like terms: 8x2 + -4x2 = 4x2
-7 + 4x2 = 9 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-7 + 4x2 = 9 + 0
-7 + 4x2 = 9
Add '7' to each side of the equation.
-7 + 7 + 4x2 = 9 + 7
Combine like terms: -7 + 7 = 0
0 + 4x2 = 9 + 7
4x2 = 9 + 7
Combine like terms: 9 + 7 = 16
4x2 = 16
Divide each side by '4'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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