If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x(x + -21) = 315 Reorder the terms: x(-21 + x) = 315 (-21 * x + x * x) = 315 (-21x + x2) = 315 Solving -21x + x2 = 315 Solving for variable 'x'. Reorder the terms: -315 + -21x + x2 = 315 + -315 Combine like terms: 315 + -315 = 0 -315 + -21x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '315' to each side of the equation. -315 + -21x + 315 + x2 = 0 + 315 Reorder the terms: -315 + 315 + -21x + x2 = 0 + 315 Combine like terms: -315 + 315 = 0 0 + -21x + x2 = 0 + 315 -21x + x2 = 0 + 315 Combine like terms: 0 + 315 = 315 -21x + x2 = 315 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 = 315 + 110.25 Reorder the terms: 110.25 + -21x + x2 = 315 + 110.25 Combine like terms: 315 + 110.25 = 425.25 110.25 + -21x + x2 = 425.25 Factor a perfect square on the left side: (x + -10.5)(x + -10.5) = 425.25 Calculate the square root of the right side: 20.621590627 Break this problem into two subproblems by setting (x + -10.5) equal to 20.621590627 and -20.621590627.Subproblem 1
x + -10.5 = 20.621590627 Simplifying x + -10.5 = 20.621590627 Reorder the terms: -10.5 + x = 20.621590627 Solving -10.5 + x = 20.621590627 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 = 20.621590627 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + x = 20.621590627 + 10.5 x = 20.621590627 + 10.5 Combine like terms: 20.621590627 + 10.5 = 31.121590627 x = 31.121590627 Simplifying x = 31.121590627Subproblem 2
x + -10.5 = -20.621590627 Simplifying x + -10.5 = -20.621590627 Reorder the terms: -10.5 + x = -20.621590627 Solving -10.5 + x = -20.621590627 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 = -20.621590627 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + x = -20.621590627 + 10.5 x = -20.621590627 + 10.5 Combine like terms: -20.621590627 + 10.5 = -10.121590627 x = -10.121590627 Simplifying x = -10.121590627Solution
The solution to the problem is based on the solutions from the subproblems. x = {31.121590627, -10.121590627}
| 16-2x=5x+7 | | (3p-2)(p^2+4p-5)= | | 3(x-2y)=0 | | y=-2x/5 | | (x/100)/((2.0-x)/100)=20 | | 0.2x-x-0.6=0.2 | | 4xln(7x)-4x= | | -84/-6-54x/-6 | | 5m+6(4-3m)= | | 2v-8=28 | | 3x+2*(x+16)=77 | | 3x+2*x+16=77 | | 4x+9=-33-2x | | 5x-1+3x=10x | | x^2-9x+(k+2)=0 | | ln(x)-3=0 | | -84-54x/-6 | | (10x+y)2-(10y+x)2=0 | | 100x+y=180 | | 3x^2+2px+(2p-3)=0 | | c=wq | | 2(y+8)=28 | | (2xy^5-y)dx+2xdy=0 | | 80=5y+10 | | 4j+6=22 | | 3t+8=14 | | 5/9n=15 | | 20k+24=63-y | | 4x^2+10x+9=0 | | 42=2x+2x+x+x+x | | 120=x/0,8 | | 26y^2-41y+15= |