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Simplifying
6x2 + -3(x2 + 1) = 23
Reorder the terms:
6x2 + -3(1 + x2) = 23
6x2 + (1 * -3 + x2 * -3) = 23
6x2 + (-3 + -3x2) = 23
Reorder the terms:
-3 + 6x2 + -3x2 = 23
Combine like terms: 6x2 + -3x2 = 3x2
-3 + 3x2 = 23
Solving
-3 + 3x2 = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 3x2 = 23 + 3
Combine like terms: -3 + 3 = 0
0 + 3x2 = 23 + 3
3x2 = 23 + 3
Combine like terms: 23 + 3 = 26
3x2 = 26
Divide each side by '3'.
x2 = 8.666666667
Simplifying
x2 = 8.666666667
Take the square root of each side:
x = {-2.943920289, 2.943920289}
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