If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (40 + 2x)(60 + 2x) = 248 Multiply (40 + 2x) * (60 + 2x) (40(60 + 2x) + 2x * (60 + 2x)) = 248 ((60 * 40 + 2x * 40) + 2x * (60 + 2x)) = 248 ((2400 + 80x) + 2x * (60 + 2x)) = 248 (2400 + 80x + (60 * 2x + 2x * 2x)) = 248 (2400 + 80x + (120x + 4x2)) = 248 Combine like terms: 80x + 120x = 200x (2400 + 200x + 4x2) = 248 Solving 2400 + 200x + 4x2 = 248 Solving for variable 'x'. Reorder the terms: 2400 + -248 + 200x + 4x2 = 248 + -248 Combine like terms: 2400 + -248 = 2152 2152 + 200x + 4x2 = 248 + -248 Combine like terms: 248 + -248 = 0 2152 + 200x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(538 + 50x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(538 + 50x + x2)' equal to zero and attempt to solve: Simplifying 538 + 50x + x2 = 0 Solving 538 + 50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-538' to each side of the equation. 538 + 50x + -538 + x2 = 0 + -538 Reorder the terms: 538 + -538 + 50x + x2 = 0 + -538 Combine like terms: 538 + -538 = 0 0 + 50x + x2 = 0 + -538 50x + x2 = 0 + -538 Combine like terms: 0 + -538 = -538 50x + x2 = -538 The x term is 50x. Take half its coefficient (25). Square it (625) and add it to both sides. Add '625' to each side of the equation. 50x + 625 + x2 = -538 + 625 Reorder the terms: 625 + 50x + x2 = -538 + 625 Combine like terms: -538 + 625 = 87 625 + 50x + x2 = 87 Factor a perfect square on the left side: (x + 25)(x + 25) = 87 Calculate the square root of the right side: 9.327379053 Break this problem into two subproblems by setting (x + 25) equal to 9.327379053 and -9.327379053.Subproblem 1
x + 25 = 9.327379053 Simplifying x + 25 = 9.327379053 Reorder the terms: 25 + x = 9.327379053 Solving 25 + x = 9.327379053 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 9.327379053 + -25 Combine like terms: 25 + -25 = 0 0 + x = 9.327379053 + -25 x = 9.327379053 + -25 Combine like terms: 9.327379053 + -25 = -15.672620947 x = -15.672620947 Simplifying x = -15.672620947Subproblem 2
x + 25 = -9.327379053 Simplifying x + 25 = -9.327379053 Reorder the terms: 25 + x = -9.327379053 Solving 25 + x = -9.327379053 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = -9.327379053 + -25 Combine like terms: 25 + -25 = 0 0 + x = -9.327379053 + -25 x = -9.327379053 + -25 Combine like terms: -9.327379053 + -25 = -34.327379053 x = -34.327379053 Simplifying x = -34.327379053Solution
The solution to the problem is based on the solutions from the subproblems. x = {-15.672620947, -34.327379053}Solution
x = {-15.672620947, -34.327379053}
| 2y-5=y-7 | | 0=x^2-444+40320 | | 3x+11=4x+4 | | 24+8y=14x | | X=8y^2 | | x-39.5=26.12 | | 29-x=47 | | 17a=-901 | | 50x^3+185x^2-180x=0 | | -3/2-8=x | | y=4x^2-10x-15 | | -5.4w=-32.4 | | 3-2(x+2)=-9x-29 | | x+57+x+129=180 | | (-57)=(-12)+3r | | 3-2(x+2)=9x-29 | | -5t+20t+15=3t+3 | | -3(z+4)+6=6z+21 | | 0.65a=0.52 | | 20x^3+84x^2+72x=0 | | 5v^2+4v+3=0 | | -(8-3b)=15b+28 | | -2t+3(2+t)=17 | | 2*-3-3y=6 | | 3(4x+1)=6-5(4x-3) | | -n=287.658 | | 2x=685+85 | | x/14=28 | | 3+6x=6+2x | | 3x-1+3x=13x+7+x | | 16x^3-54y^3=0 | | y-1=-(x-3) |