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Simplifying
7x2 + -15 = 49 + 3x2
Reorder the terms:
-15 + 7x2 = 49 + 3x2
Solving
-15 + 7x2 = 49 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
-15 + 7x2 + -3x2 = 49 + 3x2 + -3x2
Combine like terms: 7x2 + -3x2 = 4x2
-15 + 4x2 = 49 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-15 + 4x2 = 49 + 0
-15 + 4x2 = 49
Add '15' to each side of the equation.
-15 + 15 + 4x2 = 49 + 15
Combine like terms: -15 + 15 = 0
0 + 4x2 = 49 + 15
4x2 = 49 + 15
Combine like terms: 49 + 15 = 64
4x2 = 64
Divide each side by '4'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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