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Simplifying
3.675 = -4.9x2 + 9.8 + 0
Reorder the terms:
3.675 = 9.8 + 0 + -4.9x2
Combine like terms: 9.8 + 0 = 9.8
3.675 = 9.8 + -4.9x2
Solving
3.675 = 9.8 + -4.9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4.9x2' to each side of the equation.
3.675 + 4.9x2 = 9.8 + -4.9x2 + 4.9x2
Combine like terms: -4.9x2 + 4.9x2 = 0.0
3.675 + 4.9x2 = 9.8 + 0.0
3.675 + 4.9x2 = 9.8
Add '-3.675' to each side of the equation.
3.675 + -3.675 + 4.9x2 = 9.8 + -3.675
Combine like terms: 3.675 + -3.675 = 0.000
0.000 + 4.9x2 = 9.8 + -3.675
4.9x2 = 9.8 + -3.675
Combine like terms: 9.8 + -3.675 = 6.125
4.9x2 = 6.125
Divide each side by '4.9'.
x2 = 1.25
Simplifying
x2 = 1.25
Take the square root of each side:
x = {-1.118033989, 1.118033989}
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