If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 11x2 + 67x + 14 = 0 Reorder the terms: 14 + 67x + 11x2 = 0 Solving 14 + 67x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.272727273 + 6.090909091x + x2 = 0 Move the constant term to the right: Add '-1.272727273' to each side of the equation. 1.272727273 + 6.090909091x + -1.272727273 + x2 = 0 + -1.272727273 Reorder the terms: 1.272727273 + -1.272727273 + 6.090909091x + x2 = 0 + -1.272727273 Combine like terms: 1.272727273 + -1.272727273 = 0.000000000 0.000000000 + 6.090909091x + x2 = 0 + -1.272727273 6.090909091x + x2 = 0 + -1.272727273 Combine like terms: 0 + -1.272727273 = -1.272727273 6.090909091x + x2 = -1.272727273 The x term is 6.090909091x. Take half its coefficient (3.045454546). Square it (9.274793392) and add it to both sides. Add '9.274793392' to each side of the equation. 6.090909091x + 9.274793392 + x2 = -1.272727273 + 9.274793392 Reorder the terms: 9.274793392 + 6.090909091x + x2 = -1.272727273 + 9.274793392 Combine like terms: -1.272727273 + 9.274793392 = 8.002066119 9.274793392 + 6.090909091x + x2 = 8.002066119 Factor a perfect square on the left side: (x + 3.045454546)(x + 3.045454546) = 8.002066119 Calculate the square root of the right side: 2.828792343 Break this problem into two subproblems by setting (x + 3.045454546) equal to 2.828792343 and -2.828792343.Subproblem 1
x + 3.045454546 = 2.828792343 Simplifying x + 3.045454546 = 2.828792343 Reorder the terms: 3.045454546 + x = 2.828792343 Solving 3.045454546 + x = 2.828792343 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.045454546' to each side of the equation. 3.045454546 + -3.045454546 + x = 2.828792343 + -3.045454546 Combine like terms: 3.045454546 + -3.045454546 = 0.000000000 0.000000000 + x = 2.828792343 + -3.045454546 x = 2.828792343 + -3.045454546 Combine like terms: 2.828792343 + -3.045454546 = -0.216662203 x = -0.216662203 Simplifying x = -0.216662203Subproblem 2
x + 3.045454546 = -2.828792343 Simplifying x + 3.045454546 = -2.828792343 Reorder the terms: 3.045454546 + x = -2.828792343 Solving 3.045454546 + x = -2.828792343 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.045454546' to each side of the equation. 3.045454546 + -3.045454546 + x = -2.828792343 + -3.045454546 Combine like terms: 3.045454546 + -3.045454546 = 0.000000000 0.000000000 + x = -2.828792343 + -3.045454546 x = -2.828792343 + -3.045454546 Combine like terms: -2.828792343 + -3.045454546 = -5.874246889 x = -5.874246889 Simplifying x = -5.874246889Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.216662203, -5.874246889}
| 3-3(x+6)=7x+12 | | 4.5x=16 | | (2m^4)(m^5)= | | -29+51= | | 4x^2-17x+28=0 | | 1(x+3)=20 | | b+350=-80 | | 2x+4x=52 | | 24=11x-1-12x+13 | | x^2-14x+13=63 | | 2x+47+61=180 | | y=-8x^2-32x-50 | | p+365=425 | | 2x+4x=53 | | 31=4 | | 54=112+d | | -8z^3-18z^2-4z=0 | | s-25=36 | | 2.9+b=1.4 | | 10+d=72 | | -4x-2(-36/10)=-12 | | 42=17x+8+12x+4 | | 6.75x=25.65 | | 16=.2b | | 498+x=500 | | 3m^4-74=0 | | 12+4-6n=17 | | 88+u=44 | | 10n(n+3)=3n-5 | | 8x^3-27x^2-20x=0 | | 450=100+f | | 3(2x+3)-2x=21 |