If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 5x + -100 = 0 Reorder the terms: -100 + 5x + x2 = 0 Solving -100 + 5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '100' to each side of the equation. -100 + 5x + 100 + x2 = 0 + 100 Reorder the terms: -100 + 100 + 5x + x2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 5x + x2 = 0 + 100 5x + x2 = 0 + 100 Combine like terms: 0 + 100 = 100 5x + x2 = 100 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 = 100 + 6.25 Reorder the terms: 6.25 + 5x + x2 = 100 + 6.25 Combine like terms: 100 + 6.25 = 106.25 6.25 + 5x + x2 = 106.25 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = 106.25 Calculate the square root of the right side: 10.307764064 Break this problem into two subproblems by setting (x + 2.5) equal to 10.307764064 and -10.307764064.Subproblem 1
x + 2.5 = 10.307764064 Simplifying x + 2.5 = 10.307764064 Reorder the terms: 2.5 + x = 10.307764064 Solving 2.5 + x = 10.307764064 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 = 10.307764064 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 10.307764064 + -2.5 x = 10.307764064 + -2.5 Combine like terms: 10.307764064 + -2.5 = 7.807764064 x = 7.807764064 Simplifying x = 7.807764064Subproblem 2
x + 2.5 = -10.307764064 Simplifying x + 2.5 = -10.307764064 Reorder the terms: 2.5 + x = -10.307764064 Solving 2.5 + x = -10.307764064 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 = -10.307764064 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -10.307764064 + -2.5 x = -10.307764064 + -2.5 Combine like terms: -10.307764064 + -2.5 = -12.807764064 x = -12.807764064 Simplifying x = -12.807764064Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.807764064, -12.807764064}
| (x+a)(x+b)=(x+a)x+(x+a)b | | 7y-4y=63-6y | | 4z(15-7z)-5(2-7)= | | 6(x-2)=3x-8+3x | | 3(2x+1)+4(x-2)=3x+1 | | 9(x-9)=-33.3 | | 4x^2+4x=12 | | 10-x+6x+5=-10x-25 | | 8(a+9)=142.4 | | 33.8=4c-3 | | 9e-5=80.5 | | 3(7x-5)+3(10-4x)-4(2x+3)=-2 | | x^2+(-10.7)x+(-95.7)=0 | | 3(x+4)=-2x+32 | | 3x+5x-24=8 | | 3(2x+1)=2(2x+1) | | 4x+5w=7k | | 12-2(x-1)=1-5x | | -5+7i/-5+2i | | -5+-3-9= | | b/19-4b/19=6/19 | | (7-w)(4w-9)=0 | | 1/9z^-2 | | 9/8x-6/8=11/8x-(x+6)/16 | | (2x^2)-26=0 | | 9/8x-6/8=11/8x-x/16+6/16 | | 4x^2+16x-14=0 | | -5=6b+7 | | -1/6-8-9 | | 1.25x=15+.75x | | 42=6c-6 | | 2x-9y=-12 |