784=-4x^2+800

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Solution for 784=-4x^2+800 equation:


Simplifying
784 = -4x2 + 800

Reorder the terms:
784 = 800 + -4x2

Solving
784 = 800 + -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.
784 + 4x2 = 800 + -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
784 + 4x2 = 800 + 0
784 + 4x2 = 800

Add '-784' to each side of the equation.
784 + -784 + 4x2 = 800 + -784

Combine like terms: 784 + -784 = 0
0 + 4x2 = 800 + -784
4x2 = 800 + -784

Combine like terms: 800 + -784 = 16
4x2 = 16

Divide each side by '4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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