If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 1000 = 2x2 + 2x Reorder the terms: 1000 = 2x + 2x2 Solving 1000 = 2x + 2x2 Solving for variable 'x'. Reorder the terms: 1000 + -2x + -2x2 = 2x + -2x + 2x2 + -2x2 Combine like terms: 2x + -2x = 0 1000 + -2x + -2x2 = 0 + 2x2 + -2x2 1000 + -2x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1000 + -2x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(500 + -1x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(500 + -1x + -1x2)' equal to zero and attempt to solve: Simplifying 500 + -1x + -1x2 = 0 Solving 500 + -1x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -500 + x + x2 = 0 Move the constant term to the right: Add '500' to each side of the equation. -500 + x + 500 + x2 = 0 + 500 Reorder the terms: -500 + 500 + x + x2 = 0 + 500 Combine like terms: -500 + 500 = 0 0 + x + x2 = 0 + 500 x + x2 = 0 + 500 Combine like terms: 0 + 500 = 500 x + x2 = 500 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. + 0.25 + x2 = 500 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 500 + 0.25 Combine like terms: 500 + 0.25 = 500.25 1.25 + x2 = 500.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 500.25 Calculate the square root of the right side: 22.366269246 Break this problem into two subproblems by setting (x + 0.5) equal to 22.366269246 and -22.366269246.Subproblem 1
x + 0.5 = 22.366269246 Simplifying x + 0.5 = 22.366269246 Reorder the terms: 0.5 + x = 22.366269246 Solving 0.5 + x = 22.366269246 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 = 22.366269246 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 22.366269246 + -0.5 x = 22.366269246 + -0.5 Combine like terms: 22.366269246 + -0.5 = 21.866269246 x = 21.866269246 Simplifying x = 21.866269246Subproblem 2
x + 0.5 = -22.366269246 Simplifying x + 0.5 = -22.366269246 Reorder the terms: 0.5 + x = -22.366269246 Solving 0.5 + x = -22.366269246 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 = -22.366269246 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -22.366269246 + -0.5 x = -22.366269246 + -0.5 Combine like terms: -22.366269246 + -0.5 = -22.866269246 x = -22.866269246 Simplifying x = -22.866269246Solution
The solution to the problem is based on the solutions from the subproblems. x = {21.866269246, -22.866269246}Solution
x = {21.866269246, -22.866269246}
| X^2-8x+96=0 | | (y-3)(y+4)=30 | | 180=x+4+3x-9 | | 7x^2+21=28x | | 4x+2x-15=3x+40 | | x+1+3x+1=90 | | 11=24-(4-2w) | | (2+3i)(6-7i)= | | 10+8x=55+3x | | 5x-7-3x=9 | | (9y+1)=(10y-13) | | h=-7.3t^2+8.25t+2.1 | | 2x-3x-464=0 | | -39-12x+7x=46 | | 7x-13+2x+5=180 | | 3x+5x+4-1x+7=88 | | Inx-7=0 | | 2(3x+6)+4(3x+8)=46 | | 11(V+1)-2V=3(3V+1)-7 | | (7x-6)=(8x+5) | | -38=-2(-43d-4) | | 3(n-1)=5n+3(-2n) | | 2x+5+10x-12=90 | | x(3y+2c)= | | (26+7)*3= | | 1+2t=16 | | 2x-14+3(1x-1)=13 | | 275=25x-.5x^2 | | y=(20-x)-(20-y) | | C=0.19m+32.99 | | 5u+2=-18 | | y=11+1x |