If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -24x2 + 71x + -16 = 0 Reorder the terms: -16 + 71x + -24x2 = 0 Solving -16 + 71x + -24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -24 the coefficient of the squared term: Divide each side by '-24'. 0.6666666667 + -2.958333333x + x2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -2.958333333x + -0.6666666667 + x2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -2.958333333x + x2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -2.958333333x + x2 = 0 + -0.6666666667 -2.958333333x + x2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -2.958333333x + x2 = -0.6666666667 The x term is -2.958333333x. Take half its coefficient (-1.479166667). Square it (2.187934029) and add it to both sides. Add '2.187934029' to each side of the equation. -2.958333333x + 2.187934029 + x2 = -0.6666666667 + 2.187934029 Reorder the terms: 2.187934029 + -2.958333333x + x2 = -0.6666666667 + 2.187934029 Combine like terms: -0.6666666667 + 2.187934029 = 1.5212673623 2.187934029 + -2.958333333x + x2 = 1.5212673623 Factor a perfect square on the left side: (x + -1.479166667)(x + -1.479166667) = 1.5212673623 Calculate the square root of the right side: 1.233396677 Break this problem into two subproblems by setting (x + -1.479166667) equal to 1.233396677 and -1.233396677.Subproblem 1
x + -1.479166667 = 1.233396677 Simplifying x + -1.479166667 = 1.233396677 Reorder the terms: -1.479166667 + x = 1.233396677 Solving -1.479166667 + x = 1.233396677 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.479166667' to each side of the equation. -1.479166667 + 1.479166667 + x = 1.233396677 + 1.479166667 Combine like terms: -1.479166667 + 1.479166667 = 0.000000000 0.000000000 + x = 1.233396677 + 1.479166667 x = 1.233396677 + 1.479166667 Combine like terms: 1.233396677 + 1.479166667 = 2.712563344 x = 2.712563344 Simplifying x = 2.712563344Subproblem 2
x + -1.479166667 = -1.233396677 Simplifying x + -1.479166667 = -1.233396677 Reorder the terms: -1.479166667 + x = -1.233396677 Solving -1.479166667 + x = -1.233396677 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.479166667' to each side of the equation. -1.479166667 + 1.479166667 + x = -1.233396677 + 1.479166667 Combine like terms: -1.479166667 + 1.479166667 = 0.000000000 0.000000000 + x = -1.233396677 + 1.479166667 x = -1.233396677 + 1.479166667 Combine like terms: -1.233396677 + 1.479166667 = 0.24576999 x = 0.24576999 Simplifying x = 0.24576999Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.712563344, 0.24576999}
| 5.5x=100-(3.2x) | | 20+2n=2-n | | .4x+.3x=2 | | .7x+.3x=2 | | 8n-8=2n+16 | | 5y+8x=30 | | 9(x+2)=4x-23 | | 7(x-2)=9x+16 | | y=cosx^2 | | y=18000+9999 | | y=cos(x^2) | | 8x=5x+102 | | -3x-2=5x+12 | | A+b+c=4 | | 250=x(18-2x)(24-2x) | | 12+3n=5n-18 | | sqrt(5x-1)=3 | | 5(a+5)=4(a-1) | | 2(3x-1)+12=4(x+8) | | 5(3-x)=3(x+5) | | 15+9g-9-3g= | | 5(3-x)+8x=3(x+5) | | (6-z)(3z+2)=0 | | 2(a+5)+5(a+2)=-15 | | 3a(-5a-1)=17 | | c^4=8 | | x-(9x-10)+11=12x+3(-2x+1) | | 2+2+5=250 | | t-3t-5=13 | | 13-(x+17)=0 | | 3(4x+5)-18=7x | | 2r^2-10r+40=0 |