If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 48x + 27 = 0 Reorder the terms: 27 + 48x + 4x2 = 0 Solving 27 + 48x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.75 + 12x + x2 = 0 Move the constant term to the right: Add '-6.75' to each side of the equation. 6.75 + 12x + -6.75 + x2 = 0 + -6.75 Reorder the terms: 6.75 + -6.75 + 12x + x2 = 0 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + 12x + x2 = 0 + -6.75 12x + x2 = 0 + -6.75 Combine like terms: 0 + -6.75 = -6.75 12x + x2 = -6.75 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -6.75 + 36 Reorder the terms: 36 + 12x + x2 = -6.75 + 36 Combine like terms: -6.75 + 36 = 29.25 36 + 12x + x2 = 29.25 Factor a perfect square on the left side: (x + 6)(x + 6) = 29.25 Calculate the square root of the right side: 5.408326913 Break this problem into two subproblems by setting (x + 6) equal to 5.408326913 and -5.408326913.Subproblem 1
x + 6 = 5.408326913 Simplifying x + 6 = 5.408326913 Reorder the terms: 6 + x = 5.408326913 Solving 6 + x = 5.408326913 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 5.408326913 + -6 Combine like terms: 6 + -6 = 0 0 + x = 5.408326913 + -6 x = 5.408326913 + -6 Combine like terms: 5.408326913 + -6 = -0.591673087 x = -0.591673087 Simplifying x = -0.591673087Subproblem 2
x + 6 = -5.408326913 Simplifying x + 6 = -5.408326913 Reorder the terms: 6 + x = -5.408326913 Solving 6 + x = -5.408326913 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = -5.408326913 + -6 Combine like terms: 6 + -6 = 0 0 + x = -5.408326913 + -6 x = -5.408326913 + -6 Combine like terms: -5.408326913 + -6 = -11.408326913 x = -11.408326913 Simplifying x = -11.408326913Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.591673087, -11.408326913}
| y+9y+5=15 | | 60x-35=8 | | 18x-7i=3(6x-7u) | | 37x+50=9 | | 14x+4x^2=78 | | 14x+4x=78 | | 3z+6=4z^2+4z+1 | | 3(2-x)=3018 | | 2d+3=-10+d | | 2x^2+7x=39 | | 5c+5=4c+4 | | 200x=2x | | -10=-x-2y | | 3Q+4Q+2Q=108 | | -12=-2x-3x | | 6i(3i-9)= | | -2y=-3x-18 | | 5a^2+2-5a=0 | | 5y=-10+3y | | 15=3y-x | | -2y+4x=-8 | | 4x=6x-8 | | 9n-23=45 | | 15N-13=32 | | 2p+5=6+p | | 20=5y-4y | | x-1/3-2x-1/7-x-4/21=0 | | x/3+x+4/7=x-1 | | 5b=b+20 | | 24=7c-4c | | 7b=30+2b | | 5c+5=4+4 |