If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5(x + 7)(x) = 39 Reorder the terms: 0.5(7 + x)(x) = 39 Reorder the terms for easier multiplication: 0.5x(7 + x) = 39 (7 * 0.5x + x * 0.5x) = 39 (3.5x + 0.5x2) = 39 Solving 3.5x + 0.5x2 = 39 Solving for variable 'x'. Reorder the terms: -39 + 3.5x + 0.5x2 = 39 + -39 Combine like terms: 39 + -39 = 0 -39 + 3.5x + 0.5x2 = 0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. -78 + 7x + x2 = 0 Move the constant term to the right: Add '78' to each side of the equation. -78 + 7x + 78 + x2 = 0 + 78 Reorder the terms: -78 + 78 + 7x + x2 = 0 + 78 Combine like terms: -78 + 78 = 0 0 + 7x + x2 = 0 + 78 7x + x2 = 0 + 78 Combine like terms: 0 + 78 = 78 7x + x2 = 78 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = 78 + 12.25 Reorder the terms: 12.25 + 7x + x2 = 78 + 12.25 Combine like terms: 78 + 12.25 = 90.25 12.25 + 7x + x2 = 90.25 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = 90.25 Calculate the square root of the right side: 9.5 Break this problem into two subproblems by setting (x + 3.5) equal to 9.5 and -9.5.Subproblem 1
x + 3.5 = 9.5 Simplifying x + 3.5 = 9.5 Reorder the terms: 3.5 + x = 9.5 Solving 3.5 + x = 9.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 9.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 9.5 + -3.5 x = 9.5 + -3.5 Combine like terms: 9.5 + -3.5 = 6 x = 6 Simplifying x = 6Subproblem 2
x + 3.5 = -9.5 Simplifying x + 3.5 = -9.5 Reorder the terms: 3.5 + x = -9.5 Solving 3.5 + x = -9.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -9.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -9.5 + -3.5 x = -9.5 + -3.5 Combine like terms: -9.5 + -3.5 = -13 x = -13 Simplifying x = -13Solution
The solution to the problem is based on the solutions from the subproblems. x = {6, -13}
| 15x+45+30=180 | | 3y-7=4.66 | | 2x-10=(2x-30)+20 | | 4(1-8k)=164 | | 300000-25=0 | | x^2+4x=960 | | p+40=20 | | G(-4)=5x | | 90=5(2+2x) | | F=3-(-2) | | 15+4x-30-10x=60 | | 3p^5-192p^3=0 | | 17-4x=-1 | | F=2-(-4) | | 30x+3=10-5 | | 7p^2-22=-11p | | .02(5000)+0.3x=0.25(5000+x) | | C=21-6 | | B+-16=32 | | (8n+2)(3x-6)= | | x+11=y+11 | | 5t+6b=8.58 | | B=5-(-2) | | 5(r+2.75)=3 | | -50-I=110 | | 81=(x+23)+y | | 15-2x=-4x+4 | | A=-17-(-5) | | 3(x+1)-2x=x+4 | | x+0.5x=6 | | -5r-6+4r=-r-2 | | 13x+4-12=18 |