If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 31 = 6x2 + 33x Reorder the terms: 31 = 33x + 6x2 Solving 31 = 33x + 6x2 Solving for variable 'x'. Reorder the terms: 31 + -33x + -6x2 = 33x + -33x + 6x2 + -6x2 Combine like terms: 33x + -33x = 0 31 + -33x + -6x2 = 0 + 6x2 + -6x2 31 + -33x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 31 + -33x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. -5.166666667 + 5.5x + x2 = 0 Move the constant term to the right: Add '5.166666667' to each side of the equation. -5.166666667 + 5.5x + 5.166666667 + x2 = 0 + 5.166666667 Reorder the terms: -5.166666667 + 5.166666667 + 5.5x + x2 = 0 + 5.166666667 Combine like terms: -5.166666667 + 5.166666667 = 0.000000000 0.000000000 + 5.5x + x2 = 0 + 5.166666667 5.5x + x2 = 0 + 5.166666667 Combine like terms: 0 + 5.166666667 = 5.166666667 5.5x + x2 = 5.166666667 The x term is 5.5x. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x + 7.5625 + x2 = 5.166666667 + 7.5625 Reorder the terms: 7.5625 + 5.5x + x2 = 5.166666667 + 7.5625 Combine like terms: 5.166666667 + 7.5625 = 12.729166667 7.5625 + 5.5x + x2 = 12.729166667 Factor a perfect square on the left side: (x + 2.75)(x + 2.75) = 12.729166667 Calculate the square root of the right side: 3.567795771 Break this problem into two subproblems by setting (x + 2.75) equal to 3.567795771 and -3.567795771.Subproblem 1
x + 2.75 = 3.567795771 Simplifying x + 2.75 = 3.567795771 Reorder the terms: 2.75 + x = 3.567795771 Solving 2.75 + x = 3.567795771 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + x = 3.567795771 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + x = 3.567795771 + -2.75 x = 3.567795771 + -2.75 Combine like terms: 3.567795771 + -2.75 = 0.817795771 x = 0.817795771 Simplifying x = 0.817795771Subproblem 2
x + 2.75 = -3.567795771 Simplifying x + 2.75 = -3.567795771 Reorder the terms: 2.75 + x = -3.567795771 Solving 2.75 + x = -3.567795771 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + x = -3.567795771 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + x = -3.567795771 + -2.75 x = -3.567795771 + -2.75 Combine like terms: -3.567795771 + -2.75 = -6.317795771 x = -6.317795771 Simplifying x = -6.317795771Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.817795771, -6.317795771}
| 5=8y+36 | | 1.7=x/(1.5-x) | | 27=-3(-5+n) | | -35=5(9+n) | | -10=10(h-50) | | 3-5i= | | 7x-4(3x+2)=7+5x | | 5y=.75(6y+9) | | 4y^3+12y^2+5y= | | 180=-10(k-4) | | 31=(2x+11)(3x) | | -120=-10(x-1) | | 64=8(9+b) | | -4-5p=-(3p-4) | | x-0.50x=30 | | x+4/x-1+x/x+1=2 | | 2x^3+2x^2+2x+1=0 | | 3-7n=2n-3(4n-8) | | 10x+20=6x+18 | | -39=3a | | 7-3x+1+4=-6-7x-6 | | 4/x=6/12 | | -6y-22=4(y+7) | | 10=5+p | | 30-x/x=x | | 625000-37000(5)= | | ax=abw | | x^2+14x=-51 | | 9(v-6)=3v-30 | | -6=10+n | | 2(3-x)+5(2x-3)=3-4x | | 2/x-2/3=x/6 |