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Simplifying
-3x2 + 8 = 2(x2 + 4)
Reorder the terms:
8 + -3x2 = 2(x2 + 4)
Reorder the terms:
8 + -3x2 = 2(4 + x2)
8 + -3x2 = (4 * 2 + x2 * 2)
8 + -3x2 = (8 + 2x2)
Add '-8' to each side of the equation.
8 + -8 + -3x2 = 8 + -8 + 2x2
Combine like terms: 8 + -8 = 0
0 + -3x2 = 8 + -8 + 2x2
-3x2 = 8 + -8 + 2x2
Combine like terms: 8 + -8 = 0
-3x2 = 0 + 2x2
-3x2 = 2x2
Solving
-3x2 = 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.
-3x2 + -2x2 = 2x2 + -2x2
Combine like terms: -3x2 + -2x2 = -5x2
-5x2 = 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
-5x2 = 0
Divide each side by '-5'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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