(99+x)(1-x)=100x^2-98x

Solution for (99+x)(1-x)=100x^2-98x equation:

Simplifying
(99 + x)(1 + -1x) = 100x2 + -98x

Multiply (99 + x) * (1 + -1x)
(99(1 + -1x) + x(1 + -1x)) = 100x2 + -98x
((1 * 99 + -1x * 99) + x(1 + -1x)) = 100x2 + -98x
((99 + -99x) + x(1 + -1x)) = 100x2 + -98x
(99 + -99x + (1 * x + -1x * x)) = 100x2 + -98x
(99 + -99x + (1x + -1x2)) = 100x2 + -98x

Combine like terms: -99x + 1x = -98x
(99 + -98x + -1x2) = 100x2 + -98x

Reorder the terms:
99 + -98x + -1x2 = -98x + 100x2

Add '98x' to each side of the equation.
99 + -98x + 98x + -1x2 = -98x + 98x + 100x2

Combine like terms: -98x + 98x = 0
99 + 0 + -1x2 = -98x + 98x + 100x2
99 + -1x2 = -98x + 98x + 100x2

Combine like terms: -98x + 98x = 0
99 + -1x2 = 0 + 100x2
99 + -1x2 = 100x2

Solving
99 + -1x2 = 100x2

Solving for variable 'x'.

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

Add '-100x2' to each side of the equation.
99 + -1x2 + -100x2 = 100x2 + -100x2

Combine like terms: -1x2 + -100x2 = -101x2
99 + -101x2 = 100x2 + -100x2

Combine like terms: 100x2 + -100x2 = 0
99 + -101x2 = 0

Add '-99' to each side of the equation.
99 + -99 + -101x2 = 0 + -99

Combine like terms: 99 + -99 = 0
0 + -101x2 = 0 + -99
-101x2 = 0 + -99

Combine like terms: 0 + -99 = -99
-101x2 = -99

Divide each side by '-101'.
x2 = 0.9801980198

Simplifying
x2 = 0.9801980198

Take the square root of each side:
x = {-0.990049504, 0.990049504}