If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (23 + -5x)(14 + -8x) = 180 Multiply (23 + -5x) * (14 + -8x) (23(14 + -8x) + -5x * (14 + -8x)) = 180 ((14 * 23 + -8x * 23) + -5x * (14 + -8x)) = 180 ((322 + -184x) + -5x * (14 + -8x)) = 180 (322 + -184x + (14 * -5x + -8x * -5x)) = 180 (322 + -184x + (-70x + 40x2)) = 180 Combine like terms: -184x + -70x = -254x (322 + -254x + 40x2) = 180 Solving 322 + -254x + 40x2 = 180 Solving for variable 'x'. Reorder the terms: 322 + -180 + -254x + 40x2 = 180 + -180 Combine like terms: 322 + -180 = 142 142 + -254x + 40x2 = 180 + -180 Combine like terms: 180 + -180 = 0 142 + -254x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(71 + -127x + 20x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(71 + -127x + 20x2)' equal to zero and attempt to solve: Simplifying 71 + -127x + 20x2 = 0 Solving 71 + -127x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 3.55 + -6.35x + x2 = 0.0 Move the constant term to the right: Add '-3.55' to each side of the equation. 3.55 + -6.35x + -3.55 + x2 = 0.0 + -3.55 Reorder the terms: 3.55 + -3.55 + -6.35x + x2 = 0.0 + -3.55 Combine like terms: 3.55 + -3.55 = 0.00 0.00 + -6.35x + x2 = 0.0 + -3.55 -6.35x + x2 = 0.0 + -3.55 Combine like terms: 0.0 + -3.55 = -3.55 -6.35x + x2 = -3.55 The x term is -6.35x. Take half its coefficient (-3.175). Square it (10.080625) and add it to both sides. Add '10.080625' to each side of the equation. -6.35x + 10.080625 + x2 = -3.55 + 10.080625 Reorder the terms: 10.080625 + -6.35x + x2 = -3.55 + 10.080625 Combine like terms: -3.55 + 10.080625 = 6.530625 10.080625 + -6.35x + x2 = 6.530625 Factor a perfect square on the left side: (x + -3.175)(x + -3.175) = 6.530625 Calculate the square root of the right side: 2.555508756 Break this problem into two subproblems by setting (x + -3.175) equal to 2.555508756 and -2.555508756.Subproblem 1
x + -3.175 = 2.555508756 Simplifying x + -3.175 = 2.555508756 Reorder the terms: -3.175 + x = 2.555508756 Solving -3.175 + x = 2.555508756 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.175' to each side of the equation. -3.175 + 3.175 + x = 2.555508756 + 3.175 Combine like terms: -3.175 + 3.175 = 0.000 0.000 + x = 2.555508756 + 3.175 x = 2.555508756 + 3.175 Combine like terms: 2.555508756 + 3.175 = 5.730508756 x = 5.730508756 Simplifying x = 5.730508756Subproblem 2
x + -3.175 = -2.555508756 Simplifying x + -3.175 = -2.555508756 Reorder the terms: -3.175 + x = -2.555508756 Solving -3.175 + x = -2.555508756 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.175' to each side of the equation. -3.175 + 3.175 + x = -2.555508756 + 3.175 Combine like terms: -3.175 + 3.175 = 0.000 0.000 + x = -2.555508756 + 3.175 x = -2.555508756 + 3.175 Combine like terms: -2.555508756 + 3.175 = 0.619491244 x = 0.619491244 Simplifying x = 0.619491244Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.730508756, 0.619491244}Solution
x = {5.730508756, 0.619491244}
| H=6a+9c^2 | | 4n-8=84 | | X/2+x/3+x/6 | | 17x-3=6x-1 | | -9y=2x-12 | | 3x-1.25=2x | | 21z-(15z-10)= | | 7=-5w+2(w+5) | | 155.00x+7500.00=0 | | -3.8-4x=9.8 | | 9-3(a-1)=4+9 | | .09(2000-y)+.1y=191 | | 2n(n+4)+18=n(n+5)+n(n-2-7) | | u-3=-7 | | 1.5overm=5.7 | | 5t-8=22 | | .23x=25 | | -5(2t-2)+2t=8t-7 | | 35r+500=55r | | 9-3(a+1)=4+a | | 18+m/3=m+12 | | 6x-8=7+3x | | 3x-1*4=2 | | 5a/6-7/12+3a/4=-2+1/6 | | 10s-7-35=84 | | 3-5x+3x=15 | | f/7.9=5 | | 2d+12c=48g | | 12(3x+3)-5(2x-4)=6x-24 | | 2/9+3/5 | | 21=6r+5-7e | | -9-(-6)=g |