If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 45x = 1000 Reorder the terms: 45x + x2 = 1000 Solving 45x + x2 = 1000 Solving for variable 'x'. Reorder the terms: -1000 + 45x + x2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -1000 + 45x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '1000' to each side of the equation. -1000 + 45x + 1000 + x2 = 0 + 1000 Reorder the terms: -1000 + 1000 + 45x + x2 = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 45x + x2 = 0 + 1000 45x + x2 = 0 + 1000 Combine like terms: 0 + 1000 = 1000 45x + x2 = 1000 The x term is 45x. Take half its coefficient (22.5). Square it (506.25) and add it to both sides. Add '506.25' to each side of the equation. 45x + 506.25 + x2 = 1000 + 506.25 Reorder the terms: 506.25 + 45x + x2 = 1000 + 506.25 Combine like terms: 1000 + 506.25 = 1506.25 506.25 + 45x + x2 = 1506.25 Factor a perfect square on the left side: (x + 22.5)(x + 22.5) = 1506.25 Calculate the square root of the right side: 38.810436741 Break this problem into two subproblems by setting (x + 22.5) equal to 38.810436741 and -38.810436741.Subproblem 1
x + 22.5 = 38.810436741 Simplifying x + 22.5 = 38.810436741 Reorder the terms: 22.5 + x = 38.810436741 Solving 22.5 + x = 38.810436741 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.5' to each side of the equation. 22.5 + -22.5 + x = 38.810436741 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + x = 38.810436741 + -22.5 x = 38.810436741 + -22.5 Combine like terms: 38.810436741 + -22.5 = 16.310436741 x = 16.310436741 Simplifying x = 16.310436741Subproblem 2
x + 22.5 = -38.810436741 Simplifying x + 22.5 = -38.810436741 Reorder the terms: 22.5 + x = -38.810436741 Solving 22.5 + x = -38.810436741 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.5' to each side of the equation. 22.5 + -22.5 + x = -38.810436741 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + x = -38.810436741 + -22.5 x = -38.810436741 + -22.5 Combine like terms: -38.810436741 + -22.5 = -61.310436741 x = -61.310436741 Simplifying x = -61.310436741Solution
The solution to the problem is based on the solutions from the subproblems. x = {16.310436741, -61.310436741}
| lx-7l=1 | | 3x+y+7=0 | | b^2-6b-9=0 | | 2(3a-5)=7 | | -7(x+2)-18=11+6 | | f(z)=i-z^2 | | (2x-3)(x+6)=(x-6)(x+3) | | 6-2(x+12)=3x+4 | | 2x=12+16y | | 200+12a=644 | | 8-2-x= | | -42+52= | | -3(-10-3r)=-(18-3r) | | 2(6x+5)=5x-4 | | 3n+24=4n+30 | | -7(-2v-19)-18v=-16v-20-5v | | 20m=8(2m+2) | | -6+5+4w=-3(17w-18) | | 62+2b=102 | | 14d-16-9=19+3(9d+20) | | 3(-5q-3)+16=-16q | | -6x-3x+1=-10-4x+-103 | | 4x^3-2x^2+3x+4=0 | | 12-3(18c+10)=9(-5c+17) | | -6(-2-b)=2(6b+12) | | 3x^3+2x^2+5x+4=0 | | -8(g-20)=g-20 | | 2.8p-0.9=3p | | 7.5t+16.84=10.55+14.5t+13.99 | | 3.00=1.50+1.14+1.05+4.37(0.3) | | 18.1y+2.06=15.2y-19.98 | | 0.8z=15.6+2.3z |