If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 8x = 84 Reorder the terms: 8x + 2x2 = 84 Solving 8x + 2x2 = 84 Solving for variable 'x'. Reorder the terms: -84 + 8x + 2x2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-42 + 4x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-42 + 4x + x2)' equal to zero and attempt to solve: Simplifying -42 + 4x + x2 = 0 Solving -42 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '42' to each side of the equation. -42 + 4x + 42 + x2 = 0 + 42 Reorder the terms: -42 + 42 + 4x + x2 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 4x + x2 = 0 + 42 4x + x2 = 0 + 42 Combine like terms: 0 + 42 = 42 4x + x2 = 42 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 42 + 4 Reorder the terms: 4 + 4x + x2 = 42 + 4 Combine like terms: 42 + 4 = 46 4 + 4x + x2 = 46 Factor a perfect square on the left side: (x + 2)(x + 2) = 46 Calculate the square root of the right side: 6.782329983 Break this problem into two subproblems by setting (x + 2) equal to 6.782329983 and -6.782329983.Subproblem 1
x + 2 = 6.782329983 Simplifying x + 2 = 6.782329983 Reorder the terms: 2 + x = 6.782329983 Solving 2 + x = 6.782329983 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 6.782329983 + -2 Combine like terms: 2 + -2 = 0 0 + x = 6.782329983 + -2 x = 6.782329983 + -2 Combine like terms: 6.782329983 + -2 = 4.782329983 x = 4.782329983 Simplifying x = 4.782329983Subproblem 2
x + 2 = -6.782329983 Simplifying x + 2 = -6.782329983 Reorder the terms: 2 + x = -6.782329983 Solving 2 + x = -6.782329983 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -6.782329983 + -2 Combine like terms: 2 + -2 = 0 0 + x = -6.782329983 + -2 x = -6.782329983 + -2 Combine like terms: -6.782329983 + -2 = -8.782329983 x = -8.782329983 Simplifying x = -8.782329983Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.782329983, -8.782329983}Solution
x = {4.782329983, -8.782329983}
| 2c+3c-1=-11 | | (3x+4)+(5x-8)=180 | | 50+2x+70=90 | | 2x+x+8=20+x | | (9x-9)=(7x+29) | | 3a+26+5a+34=180 | | -3-121=x-164 | | (3*5)t+(21-12)=15t+3(2) | | 2(3x-5)=5 | | 2(x+8)=6x-2.5 | | 12=2y+8(y-6) | | 56=2/7w | | -28-5x=17-8x | | 2-3p=-3 | | 2(x+8)=6x-2 | | 5.5+6=281 | | 3a+28=76 | | 64=r/91 | | 3v=15/8 | | -122=-4(3r+5)-5r | | 1/4x-1/3x=1/8 | | (-3,1)m=0 | | 16r+113=945 | | (5x-6)=(6x-1) | | -19+-18x=-6x+5 | | 16r+113=946 | | -100=c^2+20c | | 4+9+5+x= | | (6x+12)+(7x-1)=180 | | h(x)=(2x+17)-(5x-10) | | 2y-49=7y-1 | | y/5-9=6 |