If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying g(g + 10) = -6 Reorder the terms: g(10 + g) = -6 (10 * g + g * g) = -6 (10g + g2) = -6 Solving 10g + g2 = -6 Solving for variable 'g'. Reorder the terms: 6 + 10g + g2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 10g + g2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 10g + -6 + g2 = 0 + -6 Reorder the terms: 6 + -6 + 10g + g2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 10g + g2 = 0 + -6 10g + g2 = 0 + -6 Combine like terms: 0 + -6 = -6 10g + g2 = -6 The g term is 10g. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10g + 25 + g2 = -6 + 25 Reorder the terms: 25 + 10g + g2 = -6 + 25 Combine like terms: -6 + 25 = 19 25 + 10g + g2 = 19 Factor a perfect square on the left side: (g + 5)(g + 5) = 19 Calculate the square root of the right side: 4.358898944 Break this problem into two subproblems by setting (g + 5) equal to 4.358898944 and -4.358898944.Subproblem 1
g + 5 = 4.358898944 Simplifying g + 5 = 4.358898944 Reorder the terms: 5 + g = 4.358898944 Solving 5 + g = 4.358898944 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + g = 4.358898944 + -5 Combine like terms: 5 + -5 = 0 0 + g = 4.358898944 + -5 g = 4.358898944 + -5 Combine like terms: 4.358898944 + -5 = -0.641101056 g = -0.641101056 Simplifying g = -0.641101056Subproblem 2
g + 5 = -4.358898944 Simplifying g + 5 = -4.358898944 Reorder the terms: 5 + g = -4.358898944 Solving 5 + g = -4.358898944 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + g = -4.358898944 + -5 Combine like terms: 5 + -5 = 0 0 + g = -4.358898944 + -5 g = -4.358898944 + -5 Combine like terms: -4.358898944 + -5 = -9.358898944 g = -9.358898944 Simplifying g = -9.358898944Solution
The solution to the problem is based on the solutions from the subproblems. g = {-0.641101056, -9.358898944}
| s^2+4s-9=0 | | 16+4y=-3x | | 18r^2-22r-42=0 | | 16+4y=-3 | | -12-17=-10+17 | | N-4=38 | | h^2-10h-4=0 | | y(y+6)=2 | | t^2-12t+10=0 | | -7n+16n=8n | | 3(c+1)=2c+7 | | b-(-5)=17 | | 4c=-144 | | 8n+3=19 | | x+x+40=180 | | m+(-8)=20 | | p^2+14p+49=2 | | -3p^2+10p+5=-8p^2 | | 8(7m-4)= | | (x)(3.08)+(10-x)(2.50)= | | -3p=-30 | | -4f=100 | | 7+8b= | | d-(-10)=12 | | n^2-20n+100=40 | | 100=45 | | 3x+11=5x+13 | | (x+2)+(x+4)=42-(x+6) | | 20m=-200 | | 5c-3(c-8)=4+3c | | 6x+24=17x-19 | | 19c-4c=17 |