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Simplifying
2x2 + 15 = x2 + 19
Reorder the terms:
15 + 2x2 = x2 + 19
Reorder the terms:
15 + 2x2 = 19 + x2
Solving
15 + 2x2 = 19 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
15 + 2x2 + -1x2 = 19 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
15 + 1x2 = 19 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
15 + 1x2 = 19 + 0
15 + 1x2 = 19
Add '-15' to each side of the equation.
15 + -15 + 1x2 = 19 + -15
Combine like terms: 15 + -15 = 0
0 + 1x2 = 19 + -15
1x2 = 19 + -15
Combine like terms: 19 + -15 = 4
1x2 = 4
Divide each side by '1'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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