416=-(4x^2)+600

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Solution for 416=-(4x^2)+600 equation:


Simplifying
416 = -1(4x2) + 600

Remove parenthesis around (4x2)
416 = -1 * 4x2 + 600

Multiply -1 * 4
416 = -4x2 + 600

Reorder the terms:
416 = 600 + -4x2

Solving
416 = 600 + -4x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x2' to each side of the equation.
416 + 4x2 = 600 + -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
416 + 4x2 = 600 + 0
416 + 4x2 = 600

Add '-416' to each side of the equation.
416 + -416 + 4x2 = 600 + -416

Combine like terms: 416 + -416 = 0
0 + 4x2 = 600 + -416
4x2 = 600 + -416

Combine like terms: 600 + -416 = 184
4x2 = 184

Divide each side by '4'.
x2 = 46

Simplifying
x2 = 46

Take the square root of each side:
x = {-6.782329983, 6.782329983}

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