If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 84 = 0.5(x)(3 + 3x) 84 = (3 * 0.5x + 3x * 0.5x) 84 = (1.5x + 1.5x2) Solving 84 = 1.5x + 1.5x2 Solving for variable 'x'. Reorder the terms: 84 + -1.5x + -1.5x2 = 1.5x + -1.5x + 1.5x2 + -1.5x2 Combine like terms: 1.5x + -1.5x = 0.0 84 + -1.5x + -1.5x2 = 0.0 + 1.5x2 + -1.5x2 84 + -1.5x + -1.5x2 = 1.5x2 + -1.5x2 Combine like terms: 1.5x2 + -1.5x2 = 0.0 84 + -1.5x + -1.5x2 = 0.0 Begin completing the square. Divide all terms by -1.5 the coefficient of the squared term: Divide each side by '-1.5'. -56 + x + x2 = 0 Move the constant term to the right: Add '56' to each side of the equation. -56 + x + 56 + x2 = 0 + 56 Reorder the terms: -56 + 56 + x + x2 = 0 + 56 Combine like terms: -56 + 56 = 0 0 + x + x2 = 0 + 56 x + x2 = 0 + 56 Combine like terms: 0 + 56 = 56 x + x2 = 56 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = 56 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 56 + 0.25 Combine like terms: 56 + 0.25 = 56.25 1.25 + x2 = 56.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 56.25 Calculate the square root of the right side: 7.5 Break this problem into two subproblems by setting (x + 0.5) equal to 7.5 and -7.5.Subproblem 1
x + 0.5 = 7.5 Simplifying x + 0.5 = 7.5 Reorder the terms: 0.5 + x = 7.5 Solving 0.5 + x = 7.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 7.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 7.5 + -0.5 x = 7.5 + -0.5 Combine like terms: 7.5 + -0.5 = 7 x = 7 Simplifying x = 7Subproblem 2
x + 0.5 = -7.5 Simplifying x + 0.5 = -7.5 Reorder the terms: 0.5 + x = -7.5 Solving 0.5 + x = -7.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -7.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -7.5 + -0.5 x = -7.5 + -0.5 Combine like terms: -7.5 + -0.5 = -8 x = -8 Simplifying x = -8Solution
The solution to the problem is based on the solutions from the subproblems. x = {7, -8}
| 360=(3g+40)4g | | 2(3n+2)=9(7n+8)+5 | | 9-8i/1-9i | | 37x+50=6(5x+8)+7x+2 | | -8(x+7)+6=-50 | | 4n-18n=4 | | 150=90+(10+7)w | | B=90+(10+7)w | | 625=275+15x | | 1/9x-5=10 | | Z-6z=9z-2-z | | 3(x^2-4x)=2(x-5) | | 15x-2=50x+12 | | 1.22g-4=0.27 | | -3(5u-4)+7u=4(u+7) | | 5-x=5x+35 | | 175=30(2)g+30+3(g) | | 3x+16=55 | | 7/8d-1/2=1/7 | | 3.3y=13.53 | | 29.99=19.99+.35x | | 5x-48=2 | | -3.1-5x-8.1-x=-5x-7.5 | | r-p/8=s | | 8y-101+3x=180 | | 2x+1=-(11-3x) | | 7(n-3)-(5-2n)=8n | | 258.991=0.157x+255.38 | | 2[3-3(t+1)]+1=2(-19-t)+2t+19 | | 639800=827000-2600x | | 22.61=4g+3.69 | | 7x-(2x+2)=8x-29 |