Answer:
Simplifying
5x2 + -10x = 2
Reorder the terms:
-10x + 5x2 = 2
Solving
-10x + 5x2 = 2
Solving for variable 'x'.
Reorder the terms:
-2 + -10x + 5x2 = 2 + -2
Combine like terms: 2 + -2 = 0
-2 + -10x + 5x2 = 0
Begin completing the square. Divide all terms by
5 the coefficient of the squared term:
Divide each side by '5'.
-0.4 + -2x + x2 = 0
Move the constant term to the right:
Add '0.4' to each side of the equation.
-0.4 + -2x + 0.4 + x2 = 0 + 0.4
Reorder the terms:
-0.4 + 0.4 + -2x + x2 = 0 + 0.4
Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -2x + x2 = 0 + 0.4
-2x + x2 = 0 + 0.4
Combine like terms: 0 + 0.4 = 0.4
-2x + x2 = 0.4
The x term is -2x. Take half its coefficient (-1).
Square it (1) and add it to both sides.
Add '1' to each side of the equation.
-2x + 1 + x2 = 0.4 + 1
Reorder the terms:
1 + -2x + x2 = 0.4 + 1
Combine like terms: 0.4 + 1 = 1.4
1 + -2x + x2 = 1.4
Factor a perfect square on the left side:
(x + -1)(x + -1) = 1.4
Calculate the square root of the right side: 1.183215957
Break this problem into two subproblems by setting
(x + -1) equal to 1.183215957 and -1.183215957.
Step-by-step explanation:
