If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 20x + -21 = 0 Reorder the terms: -21 + 20x + 4x2 = 0 Solving -21 + 20x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -5.25 + 5x + x2 = 0 Move the constant term to the right: Add '5.25' to each side of the equation. -5.25 + 5x + 5.25 + x2 = 0 + 5.25 Reorder the terms: -5.25 + 5.25 + 5x + x2 = 0 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + 5x + x2 = 0 + 5.25 5x + x2 = 0 + 5.25 Combine like terms: 0 + 5.25 = 5.25 5x + x2 = 5.25 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = 5.25 + 6.25 Reorder the terms: 6.25 + 5x + x2 = 5.25 + 6.25 Combine like terms: 5.25 + 6.25 = 11.5 6.25 + 5x + x2 = 11.5 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = 11.5 Calculate the square root of the right side: 3.391164992 Break this problem into two subproblems by setting (x + 2.5) equal to 3.391164992 and -3.391164992.Subproblem 1
x + 2.5 = 3.391164992 Simplifying x + 2.5 = 3.391164992 Reorder the terms: 2.5 + x = 3.391164992 Solving 2.5 + x = 3.391164992 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 3.391164992 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 3.391164992 + -2.5 x = 3.391164992 + -2.5 Combine like terms: 3.391164992 + -2.5 = 0.891164992 x = 0.891164992 Simplifying x = 0.891164992Subproblem 2
x + 2.5 = -3.391164992 Simplifying x + 2.5 = -3.391164992 Reorder the terms: 2.5 + x = -3.391164992 Solving 2.5 + x = -3.391164992 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -3.391164992 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -3.391164992 + -2.5 x = -3.391164992 + -2.5 Combine like terms: -3.391164992 + -2.5 = -5.891164992 x = -5.891164992 Simplifying x = -5.891164992Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.891164992, -5.891164992}
| 16t^2-112t-960=0 | | 4x^2+30x-21=0 | | 12=4x-0 | | 85x+104x=2700 | | x=(x^2-1x-10) | | 8.2+(-8.2)=0 | | f(x)=-9x^2+7x+4 | | 6x+3=4x+35 | | 33+3y-7=13y-9-5y | | 1.7=4c+0.3+5c+0.5 | | y=10x^2-15x+7 | | 6u-11.34=4.2u | | 5x^2-5x=45 | | 5x+15=10+12x-36 | | =2(x-1)+3(2x-3)-(4x-5) | | 2x^2+38x-40=0 | | z=10-y | | k-25%=9 | | k-25%=9 | | 6x+1=2x+4 | | 4p+3q=-31 | | -7(x+1)-17=33+6 | | k-25%=9 | | -3(4t-4)+6t=5t-8 | | 15x^3+72x^2-515=0 | | log(2x-18)=2 | | 0.03(6c-88)=-0.6(c-6) | | 3(20+6)=90 | | -0.9c=-63 | | 15x=4-x^2 | | -[4z-(15z+9)]=9+(10z+6) | | r^3-9r^2-81r+729=0 |