If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 225 = x2 + 2 * 3.5x + 12.25 + x2 Multiply 2 * 3.5 225 = x2 + 7x + 12.25 + x2 Reorder the terms: 225 = 12.25 + 7x + x2 + x2 Combine like terms: x2 + x2 = 2x2 225 = 12.25 + 7x + 2x2 Solving 225 = 12.25 + 7x + 2x2 Solving for variable 'x'. Combine like terms: 225 + -12.25 = 212.75 212.75 + -7x + -2x2 = 12.25 + 7x + 2x2 + -12.25 + -7x + -2x2 Reorder the terms: 212.75 + -7x + -2x2 = 12.25 + -12.25 + 7x + -7x + 2x2 + -2x2 Combine like terms: 12.25 + -12.25 = 0.00 212.75 + -7x + -2x2 = 0.00 + 7x + -7x + 2x2 + -2x2 212.75 + -7x + -2x2 = 7x + -7x + 2x2 + -2x2 Combine like terms: 7x + -7x = 0 212.75 + -7x + -2x2 = 0 + 2x2 + -2x2 212.75 + -7x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 212.75 + -7x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -106.375 + 3.5x + x2 = 0 Move the constant term to the right: Add '106.375' to each side of the equation. -106.375 + 3.5x + 106.375 + x2 = 0 + 106.375 Reorder the terms: -106.375 + 106.375 + 3.5x + x2 = 0 + 106.375 Combine like terms: -106.375 + 106.375 = 0.000 0.000 + 3.5x + x2 = 0 + 106.375 3.5x + x2 = 0 + 106.375 Combine like terms: 0 + 106.375 = 106.375 3.5x + x2 = 106.375 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = 106.375 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = 106.375 + 3.0625 Combine like terms: 106.375 + 3.0625 = 109.4375 3.0625 + 3.5x + x2 = 109.4375 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = 109.4375 Calculate the square root of the right side: 10.461237976 Break this problem into two subproblems by setting (x + 1.75) equal to 10.461237976 and -10.461237976.Subproblem 1
x + 1.75 = 10.461237976 Simplifying x + 1.75 = 10.461237976 Reorder the terms: 1.75 + x = 10.461237976 Solving 1.75 + x = 10.461237976 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = 10.461237976 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = 10.461237976 + -1.75 x = 10.461237976 + -1.75 Combine like terms: 10.461237976 + -1.75 = 8.711237976 x = 8.711237976 Simplifying x = 8.711237976Subproblem 2
x + 1.75 = -10.461237976 Simplifying x + 1.75 = -10.461237976 Reorder the terms: 1.75 + x = -10.461237976 Solving 1.75 + x = -10.461237976 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = -10.461237976 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = -10.461237976 + -1.75 x = -10.461237976 + -1.75 Combine like terms: -10.461237976 + -1.75 = -12.211237976 x = -12.211237976 Simplifying x = -12.211237976Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.711237976, -12.211237976}
| 47-5x=22 | | 2(x+4)-5=2x+3(x-2) | | v^2-7-18= | | 0.25[205x+1.5(x-4)]=-x | | 54-5x=4X+18 | | 256=x^2+2*3.5x+12.25+x^2 | | y=0.6666x-3 | | 1-2n=3+n | | -3m+9m/2 | | (4a-2b)-(6a-8b)= | | x=(1/4+35)+(3/4+150)+(1/2+75) | | 6x-4/4-3(x-4)/5-1/2x=5x+3/10-6/5x | | 4x+10=2(x+6) | | 40+7x=75 | | 2j^2+2j=j^2-15-6j | | =2[(0.25y+35)+(0.75y+150)+(0.5y+75)] | | =2[(.25y+35)+(.75y+150)+(.5y+75)] | | 5=2m+3+2 | | ((x^2-x-2)/(x^2+5x+6))((x+1)(4x+8)) | | 17u-14u=15 | | 12(4+n)+5(-2n-9)=17 | | 2x-5=110 | | 10a=27ab+5b^2 | | s-20= | | =2[(1.25x+35)+(1.75x+150)+(2x+75)] | | 2cos^4(x)-7cos^2(x)+3=0 | | .97x+.03y=.327 | | x=2[(1.25y+35)+(1.75y+150)+(2y+75)] | | 9x-2=3x+22 | | (R+9)(r+9)=0 | | 12,000*0.08*90/365=x | | 12,000*0.08*90/365= |