If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7x2 + 31x + 5 = 0 Reorder the terms: 5 + 31x + 7x2 = 0 Solving 5 + 31x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + 4.428571429x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + 4.428571429x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + 4.428571429x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + 4.428571429x + x2 = 0 + -0.7142857143 4.428571429x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 4.428571429x + x2 = -0.7142857143 The x term is 4.428571429x. Take half its coefficient (2.214285715). Square it (4.903061228) and add it to both sides. Add '4.903061228' to each side of the equation. 4.428571429x + 4.903061228 + x2 = -0.7142857143 + 4.903061228 Reorder the terms: 4.903061228 + 4.428571429x + x2 = -0.7142857143 + 4.903061228 Combine like terms: -0.7142857143 + 4.903061228 = 4.1887755137 4.903061228 + 4.428571429x + x2 = 4.1887755137 Factor a perfect square on the left side: (x + 2.214285715)(x + 2.214285715) = 4.1887755137 Calculate the square root of the right side: 2.046649827 Break this problem into two subproblems by setting (x + 2.214285715) equal to 2.046649827 and -2.046649827.Subproblem 1
x + 2.214285715 = 2.046649827 Simplifying x + 2.214285715 = 2.046649827 Reorder the terms: 2.214285715 + x = 2.046649827 Solving 2.214285715 + x = 2.046649827 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.214285715' to each side of the equation. 2.214285715 + -2.214285715 + x = 2.046649827 + -2.214285715 Combine like terms: 2.214285715 + -2.214285715 = 0.000000000 0.000000000 + x = 2.046649827 + -2.214285715 x = 2.046649827 + -2.214285715 Combine like terms: 2.046649827 + -2.214285715 = -0.167635888 x = -0.167635888 Simplifying x = -0.167635888Subproblem 2
x + 2.214285715 = -2.046649827 Simplifying x + 2.214285715 = -2.046649827 Reorder the terms: 2.214285715 + x = -2.046649827 Solving 2.214285715 + x = -2.046649827 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.214285715' to each side of the equation. 2.214285715 + -2.214285715 + x = -2.046649827 + -2.214285715 Combine like terms: 2.214285715 + -2.214285715 = 0.000000000 0.000000000 + x = -2.046649827 + -2.214285715 x = -2.046649827 + -2.214285715 Combine like terms: -2.046649827 + -2.214285715 = -4.260935542 x = -4.260935542 Simplifying x = -4.260935542Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.167635888, -4.260935542}
| 2(1+4y)=-34 | | -2+1+x-(3-x)=6-(1-1) | | 2x^2+14+24=0 | | 4(x+-1b)=x | | 4x=14.25 | | 5i-5=(8-9i) | | (x^2)+(6x+35)=90 | | 2x+6-7x=35+2x-15 | | 10x^3-13x^2-14x=0 | | 432-0.09x+0.1x=43+x | | 2(10*3w*w)+2(6*3w*h)+2(6*w*h)=c | | 25x+5y+z=80002 | | 5i-5(8-9i)=0 | | -12(x+4)-2-(2x+3)=-(x+5)+3x | | 7x^2+2xy+4x^2= | | 2(10*3w*w)=c | | 4(x+2)=8(x-3)-12 | | 2.05+1.5= | | 5x-139=-8x+56 | | 3+5y=98 | | (x^2)+(9x+54)=90 | | 0.5b+4=(2b+2) | | 1=x+2.1x | | G-3-10x=25+4x | | -2-6(n-5)=-5(n-4) | | 30-2x=90-42x | | 120=3x-3 | | 7x-8=13+4x | | 9x-7x-4=-2 | | (v+1)=2v^2-2v-20 | | 6(11.85714286)+8=y | | 2(x+9)=180 |