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Simplifying
(x2 + 15) + -1(3x2 + -10) = 0
Reorder the terms:
(15 + x2) + -1(3x2 + -10) = 0
Remove parenthesis around (15 + x2)
15 + x2 + -1(3x2 + -10) = 0
Reorder the terms:
15 + x2 + -1(-10 + 3x2) = 0
15 + x2 + (-10 * -1 + 3x2 * -1) = 0
15 + x2 + (10 + -3x2) = 0
Reorder the terms:
15 + 10 + x2 + -3x2 = 0
Combine like terms: 15 + 10 = 25
25 + x2 + -3x2 = 0
Combine like terms: x2 + -3x2 = -2x2
25 + -2x2 = 0
Solving
25 + -2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -2x2 = 0 + -25
Combine like terms: 25 + -25 = 0
0 + -2x2 = 0 + -25
-2x2 = 0 + -25
Combine like terms: 0 + -25 = -25
-2x2 = -25
Divide each side by '-2'.
x2 = 12.5
Simplifying
x2 = 12.5
Take the square root of each side:
x = {-3.535533906, 3.535533906}
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