If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -0.5x2 + 6x + 17 Reorder the terms: 0 = 17 + 6x + -0.5x2 Solving 0 = 17 + 6x + -0.5x2 Solving for variable 'x'. Combine like terms: 0 + -17 = -17 -17 + -6x + 0.5x2 = 17 + 6x + -0.5x2 + -17 + -6x + 0.5x2 Reorder the terms: -17 + -6x + 0.5x2 = 17 + -17 + 6x + -6x + -0.5x2 + 0.5x2 Combine like terms: 17 + -17 = 0 -17 + -6x + 0.5x2 = 0 + 6x + -6x + -0.5x2 + 0.5x2 -17 + -6x + 0.5x2 = 6x + -6x + -0.5x2 + 0.5x2 Combine like terms: 6x + -6x = 0 -17 + -6x + 0.5x2 = 0 + -0.5x2 + 0.5x2 -17 + -6x + 0.5x2 = -0.5x2 + 0.5x2 Combine like terms: -0.5x2 + 0.5x2 = 0.0 -17 + -6x + 0.5x2 = 0.0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. -34 + -12x + x2 = 0 Move the constant term to the right: Add '34' to each side of the equation. -34 + -12x + 34 + x2 = 0 + 34 Reorder the terms: -34 + 34 + -12x + x2 = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -12x + x2 = 0 + 34 -12x + x2 = 0 + 34 Combine like terms: 0 + 34 = 34 -12x + x2 = 34 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = 34 + 36 Reorder the terms: 36 + -12x + x2 = 34 + 36 Combine like terms: 34 + 36 = 70 36 + -12x + x2 = 70 Factor a perfect square on the left side: (x + -6)(x + -6) = 70 Calculate the square root of the right side: 8.366600265 Break this problem into two subproblems by setting (x + -6) equal to 8.366600265 and -8.366600265.Subproblem 1
x + -6 = 8.366600265 Simplifying x + -6 = 8.366600265 Reorder the terms: -6 + x = 8.366600265 Solving -6 + x = 8.366600265 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 8.366600265 + 6 Combine like terms: -6 + 6 = 0 0 + x = 8.366600265 + 6 x = 8.366600265 + 6 Combine like terms: 8.366600265 + 6 = 14.366600265 x = 14.366600265 Simplifying x = 14.366600265Subproblem 2
x + -6 = -8.366600265 Simplifying x + -6 = -8.366600265 Reorder the terms: -6 + x = -8.366600265 Solving -6 + x = -8.366600265 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = -8.366600265 + 6 Combine like terms: -6 + 6 = 0 0 + x = -8.366600265 + 6 x = -8.366600265 + 6 Combine like terms: -8.366600265 + 6 = -2.366600265 x = -2.366600265 Simplifying x = -2.366600265Solution
The solution to the problem is based on the solutions from the subproblems. x = {14.366600265, -2.366600265}
| -8x^2-18x-9=0 | | 3y+10+11+2y+3+y+2=56 | | 3a-12a=15 | | f(x)=-0.5x^2+6x+17 | | -4+7(x-5)=13x+4-6x | | 3x+4=6x+12 | | 9-3q=14 | | f(x)=-0.5x+6x+17 | | u=vx | | b^2+2b-35=3b | | -2(w+1)=5w-8+3(3w+6) | | (b-3.7)=28.25 | | 3m=4n | | d+10d=-16 | | h=x-k | | x-6*2=x+13 | | 3x-9x^2=-10 | | 7(u-1)=u+1-2(-5u-1) | | c=d+x | | x-6=x+13*2 | | 10=3+x | | a^2+17a+156=0 | | 25+b^2=225 | | -2(7y-6)+7y=5(y+4) | | x-3+2=6 | | 12s+4+4s-2= | | x+15x+30=-6 | | x=191.5(3.7)+x | | -7=m-9 | | -3(-8y+3)-4y=5(y-3)-3 | | px=p | | 5(x-3)=34 |