If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x + 25x2 = 1000 Solving 5x + 25x2 = 1000 Solving for variable 'x'. Reorder the terms: -1000 + 5x + 25x2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -1000 + 5x + 25x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-200 + x + 5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-200 + x + 5x2)' equal to zero and attempt to solve: Simplifying -200 + x + 5x2 = 0 Solving -200 + x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -40 + 0.2x + x2 = 0 Move the constant term to the right: Add '40' to each side of the equation. -40 + 0.2x + 40 + x2 = 0 + 40 Reorder the terms: -40 + 40 + 0.2x + x2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 0.2x + x2 = 0 + 40 0.2x + x2 = 0 + 40 Combine like terms: 0 + 40 = 40 0.2x + x2 = 40 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.2x + 0.25 + x2 = 40 + 0.25 Reorder the terms: 0.25 + 0.2x + x2 = 40 + 0.25 Combine like terms: 40 + 0.25 = 40.25 0.25 + 0.2x + x2 = 40.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 40.25 Calculate the square root of the right side: 6.34428877 Break this problem into two subproblems by setting (x + 0.5) equal to 6.34428877 and -6.34428877.Subproblem 1
x + 0.5 = 6.34428877 Simplifying x + 0.5 = 6.34428877 Reorder the terms: 0.5 + x = 6.34428877 Solving 0.5 + x = 6.34428877 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 6.34428877 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 6.34428877 + -0.5 x = 6.34428877 + -0.5 Combine like terms: 6.34428877 + -0.5 = 5.84428877 x = 5.84428877 Simplifying x = 5.84428877Subproblem 2
x + 0.5 = -6.34428877 Simplifying x + 0.5 = -6.34428877 Reorder the terms: 0.5 + x = -6.34428877 Solving 0.5 + x = -6.34428877 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -6.34428877 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -6.34428877 + -0.5 x = -6.34428877 + -0.5 Combine like terms: -6.34428877 + -0.5 = -6.84428877 x = -6.84428877 Simplifying x = -6.84428877Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.84428877, -6.84428877}Solution
x = {5.84428877, -6.84428877}
| 184-6x=30x-24 | | 3.51+1=153 | | 4a^2+6b+16= | | (2n)(11n-14)=90 | | 107-6=8x+23 | | 5x-3=5(x+2) | | 6x+6=68-4x | | 6(x-2)-3(4x+2)=-18-6x | | (2n)(11n-14)=180 | | 5*n-9n=87 | | 8s^2-10st-3t^2= | | 3r-r=4-8 | | 5xa+1=41 | | (x+6)x=27 | | 5*49=x*7 | | 5xa=41 | | 5*49=7*x | | 89-6x=12x+23 | | 0.06n-8= | | 6n-(n+2)=n-11 | | (x+3)(x+3)+1=26 | | 5n+2=n-11 | | 10*1300=x*500 | | 2*n-8+n=52 | | 8n-0.6= | | 0.06n+8= | | 240*540=180*x | | 2(20+x)=5(30-x) | | a^2=-18-11a | | 2*n-8+n=34 | | 2t^2-11t-21=0 | | 3c^2+2c-1= |