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Simplifying
10 = -16x2 + 46
Reorder the terms:
10 = 46 + -16x2
Solving
10 = 46 + -16x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16x2' to each side of the equation.
10 + 16x2 = 46 + -16x2 + 16x2
Combine like terms: -16x2 + 16x2 = 0
10 + 16x2 = 46 + 0
10 + 16x2 = 46
Add '-10' to each side of the equation.
10 + -10 + 16x2 = 46 + -10
Combine like terms: 10 + -10 = 0
0 + 16x2 = 46 + -10
16x2 = 46 + -10
Combine like terms: 46 + -10 = 36
16x2 = 36
Divide each side by '16'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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