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Simplifying
1400 = -16x2 + 1500
Reorder the terms:
1400 = 1500 + -16x2
Solving
1400 = 1500 + -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.
1400 + 16x2 = 1500 + -16x2 + 16x2
Combine like terms: -16x2 + 16x2 = 0
1400 + 16x2 = 1500 + 0
1400 + 16x2 = 1500
Add '-1400' to each side of the equation.
1400 + -1400 + 16x2 = 1500 + -1400
Combine like terms: 1400 + -1400 = 0
0 + 16x2 = 1500 + -1400
16x2 = 1500 + -1400
Combine like terms: 1500 + -1400 = 100
16x2 = 100
Divide each side by '16'.
x2 = 6.25
Simplifying
x2 = 6.25
Take the square root of each side:
x = {-2.5, 2.5}
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