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Simplifying
x2 + 15 = 6x2 + -10
Reorder the terms:
15 + x2 = 6x2 + -10
Reorder the terms:
15 + x2 = -10 + 6x2
Solving
15 + x2 = -10 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
15 + x2 + -6x2 = -10 + 6x2 + -6x2
Combine like terms: x2 + -6x2 = -5x2
15 + -5x2 = -10 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
15 + -5x2 = -10 + 0
15 + -5x2 = -10
Add '-15' to each side of the equation.
15 + -15 + -5x2 = -10 + -15
Combine like terms: 15 + -15 = 0
0 + -5x2 = -10 + -15
-5x2 = -10 + -15
Combine like terms: -10 + -15 = -25
-5x2 = -25
Divide each side by '-5'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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