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 + -42 = 0 Reorder the terms: -42 + 21x + x2 = 0 Solving -42 + 21x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '42' to each side of the equation. -42 + 21x + 42 + x2 = 0 + 42 Reorder the terms: -42 + 42 + 21x + x2 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 21x + x2 = 0 + 42 21x + x2 = 0 + 42 Combine like terms: 0 + 42 = 42 21x + x2 = 42 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 = 42 + 110.25 Reorder the terms: 110.25 + 21x + x2 = 42 + 110.25 Combine like terms: 42 + 110.25 = 152.25 110.25 + 21x + x2 = 152.25 Factor a perfect square on the left side: (x + 10.5)(x + 10.5) = 152.25 Calculate the square root of the right side: 12.338962679 Break this problem into two subproblems by setting (x + 10.5) equal to 12.338962679 and -12.338962679.Subproblem 1
x + 10.5 = 12.338962679 Simplifying x + 10.5 = 12.338962679 Reorder the terms: 10.5 + x = 12.338962679 Solving 10.5 + x = 12.338962679 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 = 12.338962679 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + x = 12.338962679 + -10.5 x = 12.338962679 + -10.5 Combine like terms: 12.338962679 + -10.5 = 1.838962679 x = 1.838962679 Simplifying x = 1.838962679Subproblem 2
x + 10.5 = -12.338962679 Simplifying x + 10.5 = -12.338962679 Reorder the terms: 10.5 + x = -12.338962679 Solving 10.5 + x = -12.338962679 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 = -12.338962679 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + x = -12.338962679 + -10.5 x = -12.338962679 + -10.5 Combine like terms: -12.338962679 + -10.5 = -22.838962679 x = -22.838962679 Simplifying x = -22.838962679Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.838962679, -22.838962679}
| 3x+7x-7=2(5x+7) | | 3(x-3)-x=-21 | | 6y=5x-4y | | 10n-14=8n+12 | | 1 = z2– 1 | | x^2-13x+69=0 | | 3m-6=2m+9 | | 1.8k-523.67=f | | x^2-3x+69=0 | | G(0)=x^2-2x | | 3x^2+9x=27 | | (2w+1)(8-w)=0 | | 17-2n=-5 | | 6x-3=29-2xy | | 2(v-4)-10=-2(-1+4) | | 21-(x+5)=4x-4 | | x^4-31x^2+240=0 | | t+11v=w-13*t | | ln*(2x)=ln*(8x^2)-2ln*(x+1) | | x^2-4+18=0 | | -12=5w-2 | | 2*y+13=19 | | 10x-4x=36+x | | 10*x-17=73 | | 6*x+5=29 | | 00.4x-0.4=x+5 | | 0.007-0.0004= | | 3ln^2(x)-19ln(x)+20=19 | | 12(2-x)l=12 | | 2b-9+1.5(b+2)+15=b | | 4x+13y=21 | | 4.3t-2.1t-2.3=-9 |