If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12 = 0.5(x)(x + -2) Reorder the terms: 12 = 0.5x(-2 + x) 12 = (-2 * 0.5x + x * 0.5x) 12 = (-1x + 0.5x2) Solving 12 = -1x + 0.5x2 Solving for variable 'x'. Reorder the terms: 12 + x + -0.5x2 = -1x + x + 0.5x2 + -0.5x2 Combine like terms: -1x + x = 0 12 + x + -0.5x2 = 0 + 0.5x2 + -0.5x2 12 + x + -0.5x2 = 0.5x2 + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 12 + x + -0.5x2 = 0.0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. -24 + -2x + x2 = 0 Move the constant term to the right: Add '24' to each side of the equation. -24 + -2x + 24 + x2 = 0 + 24 Reorder the terms: -24 + 24 + -2x + x2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -2x + x2 = 0 + 24 -2x + x2 = 0 + 24 Combine like terms: 0 + 24 = 24 -2x + x2 = 24 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. -2x + 0.25 + x2 = 24 + 0.25 Reorder the terms: 0.25 + -2x + x2 = 24 + 0.25 Combine like terms: 24 + 0.25 = 24.25 0.25 + -2x + x2 = 24.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 24.25 Calculate the square root of the right side: 4.924428901 Break this problem into two subproblems by setting (x + 0.5) equal to 4.924428901 and -4.924428901.Subproblem 1
x + 0.5 = 4.924428901 Simplifying x + 0.5 = 4.924428901 Reorder the terms: 0.5 + x = 4.924428901 Solving 0.5 + x = 4.924428901 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 = 4.924428901 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 4.924428901 + -0.5 x = 4.924428901 + -0.5 Combine like terms: 4.924428901 + -0.5 = 4.424428901 x = 4.424428901 Simplifying x = 4.424428901Subproblem 2
x + 0.5 = -4.924428901 Simplifying x + 0.5 = -4.924428901 Reorder the terms: 0.5 + x = -4.924428901 Solving 0.5 + x = -4.924428901 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 = -4.924428901 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -4.924428901 + -0.5 x = -4.924428901 + -0.5 Combine like terms: -4.924428901 + -0.5 = -5.424428901 x = -5.424428901 Simplifying x = -5.424428901Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.424428901, -5.424428901}
| -9x-3=-103 | | -11n+7=-4 | | 300=x^2-6x+273 | | 28-6m=7(4-8m) | | x-3(-5x-5)=7x-3 | | 204-5x=31x+20 | | 7+6ln(3x-2)=13 | | 5x+37=6(x+5)+4 | | h(t)=-16t^2+96t | | p=-2x^2+8x+2 | | 24=x(x-5) | | 8(1+5n)=40+8n | | a-3(6-6a)=30+7a | | -6(6b-2)=-5b+12 | | -6(2+3k)=-8k+18 | | -27+8n=-3(-5n-3)+2n | | 3(7r-6)=r+22 | | -105=3-3(-6+6x) | | 8(5v+5)=280 | | 13x+195=(x+15) | | -2+5(-2n+1)=83 | | 97=1+4(2x+8) | | -5-4(1+5b)=151 | | -7(8m+8)=-392 | | (9+4y)-(-1+8)+(7-y)= | | -6(6r+1)+5r=180 | | -8+3x=8-3x | | (5x-1)+(-3x-1)= | | 2y=-32 | | (5x-1)+(3x-1)= | | (2a-1)-(-5a-5)= | | 5x+3y=50 |