If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5x2 + -5.5x + 9 = 0 Reorder the terms: 9 + -5.5x + 0.5x2 = 0 Solving 9 + -5.5x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 18 + -11x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -11x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -11x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -11x + x2 = 0 + -18 -11x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -11x + x2 = -18 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -18 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -18 + 30.25 Combine like terms: -18 + 30.25 = 12.25 30.25 + -11x + x2 = 12.25 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = 12.25 Calculate the square root of the right side: 3.5 Break this problem into two subproblems by setting (x + -5.5) equal to 3.5 and -3.5.Subproblem 1
x + -5.5 = 3.5 Simplifying x + -5.5 = 3.5 Reorder the terms: -5.5 + x = 3.5 Solving -5.5 + x = 3.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x = 3.5 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = 3.5 + 5.5 x = 3.5 + 5.5 Combine like terms: 3.5 + 5.5 = 9 x = 9 Simplifying x = 9Subproblem 2
x + -5.5 = -3.5 Simplifying x + -5.5 = -3.5 Reorder the terms: -5.5 + x = -3.5 Solving -5.5 + x = -3.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x = -3.5 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = -3.5 + 5.5 x = -3.5 + 5.5 Combine like terms: -3.5 + 5.5 = 2 x = 2 Simplifying x = 2Solution
The solution to the problem is based on the solutions from the subproblems. x = {9, 2}
| -9x=49 | | 13-7=136 | | 3(-3n-9)=21 | | 37700000-67500y=27700000+10387500y | | 2-7x+2x=54 | | 4(x-9)=2x-48 | | 8-3(-7+5n)=-(7n-5) | | 8(3+8b)=24-3b | | 5x+4=6y+2 | | -4(5)-10(2)=-n | | 12x-3x^3=9 | | -6-6x-2x=-94 | | -5w-35=5(w+1) | | 2.73*4000=n | | 16+b=-(3b-1)-1 | | 2+6x=-(1-6x) | | -2x+7+5x=-17 | | 4(x-2)=-9x-21 | | -4(m+7)=-4m-28 | | T+5-1=13 | | 3(x-2)=4(-x-3) | | 49=-17x | | A+3+1=15 | | 47=-(1-6r)-6(r-8) | | 0=2x-2-4x | | 19=u-8 | | -3(2x-7)+5=92-4x | | 6x=16+5x | | 3/10k-3/5 | | 2-4x-2x=74 | | -6n-4(1+2n)=-5(5n-8) | | -1=n/2-7 |