If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 21x + -38 = 0 Reorder the terms: -38 + 21x + x2 = 0 Solving -38 + 21x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '38' to each side of the equation. -38 + 21x + 38 + x2 = 0 + 38 Reorder the terms: -38 + 38 + 21x + x2 = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 21x + x2 = 0 + 38 21x + x2 = 0 + 38 Combine like terms: 0 + 38 = 38 21x + x2 = 38 The x term is 21x. Take half its coefficient (10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. 21x + 110.25 + x2 = 38 + 110.25 Reorder the terms: 110.25 + 21x + x2 = 38 + 110.25 Combine like terms: 38 + 110.25 = 148.25 110.25 + 21x + x2 = 148.25 Factor a perfect square on the left side: (x + 10.5)(x + 10.5) = 148.25 Calculate the square root of the right side: 12.175795662 Break this problem into two subproblems by setting (x + 10.5) equal to 12.175795662 and -12.175795662.Subproblem 1
x + 10.5 = 12.175795662 Simplifying x + 10.5 = 12.175795662 Reorder the terms: 10.5 + x = 12.175795662 Solving 10.5 + x = 12.175795662 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + x = 12.175795662 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + x = 12.175795662 + -10.5 x = 12.175795662 + -10.5 Combine like terms: 12.175795662 + -10.5 = 1.675795662 x = 1.675795662 Simplifying x = 1.675795662Subproblem 2
x + 10.5 = -12.175795662 Simplifying x + 10.5 = -12.175795662 Reorder the terms: 10.5 + x = -12.175795662 Solving 10.5 + x = -12.175795662 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + x = -12.175795662 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + x = -12.175795662 + -10.5 x = -12.175795662 + -10.5 Combine like terms: -12.175795662 + -10.5 = -22.675795662 x = -22.675795662 Simplifying x = -22.675795662Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.675795662, -22.675795662}
| 3x(5+6)= | | 8s+3s=44 | | -32+9=-14-11x | | 4x+5x-12=(-3x)+24 | | (x-7)2=9 | | 45=x-4x | | -6x+24=54 | | -5+z=14-37 | | -9.4x=47.0 | | -5+2=14-37 | | x+5-8=-4 | | -4x^2+24=32 | | -7(3b+3)+(22b-4)=0 | | 9(2x-6)=3(6x+5) | | n-3n=-14-4n | | 9+3z-3=9z+12-3z | | 9+3z-3=9z+122-3z | | 3.9q-1.9-4.3q=-1.4q-5.5 | | 5(5+t)-3(t-6)= | | x(5x+1)(x-9)=0 | | 3(2n-7)+7(4-2n)= | | x^2-6x+20=0 | | 124-6x=21x+16 | | 3/2(5x-2)=x | | 3(x+4)+2(5x+2)= | | 6x+7+3x+1= | | -4x+5=5-4x | | -3y+6=-4y+7 | | 7xy-xy+3xy= | | 4w-5+9w+2= | | -4+5=5-4x | | 20-x=10x-2 |