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Simplifying
5(x2 + 10 * 5x2 + -3) = 500
Multiply 10 * 5
5(x2 + 50x2 + -3) = 500
Reorder the terms:
5(-3 + x2 + 50x2) = 500
Combine like terms: x2 + 50x2 = 51x2
5(-3 + 51x2) = 500
(-3 * 5 + 51x2 * 5) = 500
(-15 + 255x2) = 500
Solving
-15 + 255x2 = 500
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 255x2 = 500 + 15
Combine like terms: -15 + 15 = 0
0 + 255x2 = 500 + 15
255x2 = 500 + 15
Combine like terms: 500 + 15 = 515
255x2 = 515
Divide each side by '255'.
x2 = 2.019607843
Simplifying
x2 = 2.019607843
Take the square root of each side:
x = {-1.421129073, 1.421129073}
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