If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x(x + 5) + -21 = 0 Reorder the terms: 5x(5 + x) + -21 = 0 (5 * 5x + x * 5x) + -21 = 0 (25x + 5x2) + -21 = 0 Reorder the terms: -21 + 25x + 5x2 = 0 Solving -21 + 25x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -4.2 + 5x + x2 = 0 Move the constant term to the right: Add '4.2' to each side of the equation. -4.2 + 5x + 4.2 + x2 = 0 + 4.2 Reorder the terms: -4.2 + 4.2 + 5x + x2 = 0 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 5x + x2 = 0 + 4.2 5x + x2 = 0 + 4.2 Combine like terms: 0 + 4.2 = 4.2 5x + x2 = 4.2 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 = 4.2 + 6.25 Reorder the terms: 6.25 + 5x + x2 = 4.2 + 6.25 Combine like terms: 4.2 + 6.25 = 10.45 6.25 + 5x + x2 = 10.45 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = 10.45 Calculate the square root of the right side: 3.232645975 Break this problem into two subproblems by setting (x + 2.5) equal to 3.232645975 and -3.232645975.Subproblem 1
x + 2.5 = 3.232645975 Simplifying x + 2.5 = 3.232645975 Reorder the terms: 2.5 + x = 3.232645975 Solving 2.5 + x = 3.232645975 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 = 3.232645975 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 3.232645975 + -2.5 x = 3.232645975 + -2.5 Combine like terms: 3.232645975 + -2.5 = 0.732645975 x = 0.732645975 Simplifying x = 0.732645975Subproblem 2
x + 2.5 = -3.232645975 Simplifying x + 2.5 = -3.232645975 Reorder the terms: 2.5 + x = -3.232645975 Solving 2.5 + x = -3.232645975 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 = -3.232645975 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -3.232645975 + -2.5 x = -3.232645975 + -2.5 Combine like terms: -3.232645975 + -2.5 = -5.732645975 x = -5.732645975 Simplifying x = -5.732645975Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.732645975, -5.732645975}
| -4(4t^2-49)=0 | | 8+x=-3x+6 | | -4y-2x=4-6y-7x | | 3(8-x)=9 | | 4(3z-1)-3(z+7)=4(z+1) | | 47+(-15)= | | 6-4d=6-9d | | 17=2x-4 | | -3(x-3)=-6x-3 | | -4x-8=5x-62 | | -2x+3=-5x+13 | | 1.75n=5+(.5*2n) | | -16t^2+196=0 | | 16-4d=16-9d | | 4y^2=6y-5 | | -5x-77=-3(x+9) | | t-(1)=45 | | 2x+2=6x-46 | | -6(t-2)-(t+4)=10 | | 7-x=3(x+7) | | 8z+3=8z-13 | | 12+0.10x=0.25x | | .75n=(.5*2n)+5 | | 6(4k+3)+8(6-2k)= | | 4x+4x+50=180 | | 12(v+1)-4v=4(2v+1)-6 | | 1-5(x-3)=7.5 | | X-7=3(x+7) | | 3x+4-3+20= | | 5(x+5)-21= | | .75n=5+.5n | | y=6(7) |