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Simplifying
x2 + 19 = 3x2 + -13
Reorder the terms:
19 + x2 = 3x2 + -13
Reorder the terms:
19 + x2 = -13 + 3x2
Solving
19 + x2 = -13 + 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.
19 + x2 + -3x2 = -13 + 3x2 + -3x2
Combine like terms: x2 + -3x2 = -2x2
19 + -2x2 = -13 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
19 + -2x2 = -13 + 0
19 + -2x2 = -13
Add '-19' to each side of the equation.
19 + -19 + -2x2 = -13 + -19
Combine like terms: 19 + -19 = 0
0 + -2x2 = -13 + -19
-2x2 = -13 + -19
Combine like terms: -13 + -19 = -32
-2x2 = -32
Divide each side by '-2'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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