If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 32x + 32 = 71 Reorder the terms: 32 + 32x + 6x2 = 71 Solving 32 + 32x + 6x2 = 71 Solving for variable 'x'. Reorder the terms: 32 + -71 + 32x + 6x2 = 71 + -71 Combine like terms: 32 + -71 = -39 -39 + 32x + 6x2 = 71 + -71 Combine like terms: 71 + -71 = 0 -39 + 32x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -6.5 + 5.333333333x + x2 = 0 Move the constant term to the right: Add '6.5' to each side of the equation. -6.5 + 5.333333333x + 6.5 + x2 = 0 + 6.5 Reorder the terms: -6.5 + 6.5 + 5.333333333x + x2 = 0 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 5.333333333x + x2 = 0 + 6.5 5.333333333x + x2 = 0 + 6.5 Combine like terms: 0 + 6.5 = 6.5 5.333333333x + x2 = 6.5 The x term is 5.333333333x. Take half its coefficient (2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. 5.333333333x + 7.111111113 + x2 = 6.5 + 7.111111113 Reorder the terms: 7.111111113 + 5.333333333x + x2 = 6.5 + 7.111111113 Combine like terms: 6.5 + 7.111111113 = 13.611111113 7.111111113 + 5.333333333x + x2 = 13.611111113 Factor a perfect square on the left side: (x + 2.666666667)(x + 2.666666667) = 13.611111113 Calculate the square root of the right side: 3.689323937 Break this problem into two subproblems by setting (x + 2.666666667) equal to 3.689323937 and -3.689323937.Subproblem 1
x + 2.666666667 = 3.689323937 Simplifying x + 2.666666667 = 3.689323937 Reorder the terms: 2.666666667 + x = 3.689323937 Solving 2.666666667 + x = 3.689323937 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.666666667' to each side of the equation. 2.666666667 + -2.666666667 + x = 3.689323937 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + x = 3.689323937 + -2.666666667 x = 3.689323937 + -2.666666667 Combine like terms: 3.689323937 + -2.666666667 = 1.02265727 x = 1.02265727 Simplifying x = 1.02265727Subproblem 2
x + 2.666666667 = -3.689323937 Simplifying x + 2.666666667 = -3.689323937 Reorder the terms: 2.666666667 + x = -3.689323937 Solving 2.666666667 + x = -3.689323937 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.666666667' to each side of the equation. 2.666666667 + -2.666666667 + x = -3.689323937 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + x = -3.689323937 + -2.666666667 x = -3.689323937 + -2.666666667 Combine like terms: -3.689323937 + -2.666666667 = -6.355990604 x = -6.355990604 Simplifying x = -6.355990604Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.02265727, -6.355990604}
| y+5y=21 | | -3x^2+6x-4=0 | | 6x^2+5/2=8x | | 27=627x+358 | | x-9x^1/2+14=0 | | x^3-3x^2+4x-1=0 | | 2j+1=1 | | (x/8)=30/12 | | (7x/4)+24=52 | | 24g+x=160 | | X^2-8x+16=33 | | k+kx=1 | | x+kx=1 | | x+20+3x+60=180 | | 13=-g/3+4 | | f(x)=4x-104 | | 2b-3=10 | | 12a^2-48a+56=0 | | 43x+250y=77 | | 3x(x+2)-4x= | | 5/d=-7 | | x^3+4x^2-12=y | | 24z=8 | | x+2x+(2x-5)=80 | | x+2x+(2x-5)=8 | | 15(2x+3)=5x-30 | | 6/5+5x/x+3=5 | | 9h=-26 | | 75x-39y=1 | | 115-5x=40x+15 | | 9-10x=40x+15 | | x^2+7x-2x=14 |