If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 27x = -20 Reorder the terms: 27x + 4x2 = -20 Solving 27x + 4x2 = -20 Solving for variable 'x'. Reorder the terms: 20 + 27x + 4x2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 27x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5 + 6.75x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 6.75x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 6.75x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6.75x + x2 = 0 + -5 6.75x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 6.75x + x2 = -5 The x term is 6.75x. Take half its coefficient (3.375). Square it (11.390625) and add it to both sides. Add '11.390625' to each side of the equation. 6.75x + 11.390625 + x2 = -5 + 11.390625 Reorder the terms: 11.390625 + 6.75x + x2 = -5 + 11.390625 Combine like terms: -5 + 11.390625 = 6.390625 11.390625 + 6.75x + x2 = 6.390625 Factor a perfect square on the left side: (x + 3.375)(x + 3.375) = 6.390625 Calculate the square root of the right side: 2.527968552 Break this problem into two subproblems by setting (x + 3.375) equal to 2.527968552 and -2.527968552.Subproblem 1
x + 3.375 = 2.527968552 Simplifying x + 3.375 = 2.527968552 Reorder the terms: 3.375 + x = 2.527968552 Solving 3.375 + x = 2.527968552 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.375' to each side of the equation. 3.375 + -3.375 + x = 2.527968552 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + x = 2.527968552 + -3.375 x = 2.527968552 + -3.375 Combine like terms: 2.527968552 + -3.375 = -0.847031448 x = -0.847031448 Simplifying x = -0.847031448Subproblem 2
x + 3.375 = -2.527968552 Simplifying x + 3.375 = -2.527968552 Reorder the terms: 3.375 + x = -2.527968552 Solving 3.375 + x = -2.527968552 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.375' to each side of the equation. 3.375 + -3.375 + x = -2.527968552 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + x = -2.527968552 + -3.375 x = -2.527968552 + -3.375 Combine like terms: -2.527968552 + -3.375 = -5.902968552 x = -5.902968552 Simplifying x = -5.902968552Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.847031448, -5.902968552}
| X+3=15-2x | | -2+(7-19)-(15-2)= | | 12(x+1)=3(rx+9)-15 | | -8(x+5)=-10(x+4) | | 4-2x=x-14 | | 30=3y-12 | | 3x-2(x-k)+4(-k-2x)+1=0 | | 32x+7=40x-7 | | 9g^2-16= | | 25x^2-6x+36=-66x | | 0.32x=31 | | x+7.5=-22.5 | | 5(x+9)=9x+8-4x+37 | | 2y+120+-1y+y+30=180 | | (x-5)*(x+5)= | | -7(x+1)-3=13 | | 4x^2-4x+25=-24x | | 5x(x+3)-3x+4=7(x+2) | | 0.23x=26 | | 25=4v+v | | 8x-7=8(x+1) | | 8(m-5)-7(m-6)=10-7m+6m+4 | | 2y+120-y+y+30= | | 15-2[x+5]=3 | | S+29=23 | | X+2(-0.2)=9 | | 5x-8x+19=4x+40 | | X-42=-30 | | x^3-20x^2-5700x-54000=0 | | -17+13d=14d-15 | | 15-2lx+5l=3 | | 3(6x-3)=-117 |