10=46-4.9x^2

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Solution for 10=46-4.9x^2 equation:


Simplifying
10 = 46 + -4.9x2

Solving
10 = 46 + -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.
10 + 4.9x2 = 46 + -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
10 + 4.9x2 = 46 + 0.0
10 + 4.9x2 = 46

Add '-10' to each side of the equation.
10 + -10 + 4.9x2 = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 4.9x2 = 46 + -10
4.9x2 = 46 + -10

Combine like terms: 46 + -10 = 36
4.9x2 = 36

Divide each side by '4.9'.
x2 = 7.346938776

Simplifying
x2 = 7.346938776

Take the square root of each side:
x = {-2.710523709, 2.710523709}

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