If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 22x = -16 Reorder the terms: 22x + 4x2 = -16 Solving 22x + 4x2 = -16 Solving for variable 'x'. Reorder the terms: 16 + 22x + 4x2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 22x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 11x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 11x + 2x2)' equal to zero and attempt to solve: Simplifying 8 + 11x + 2x2 = 0 Solving 8 + 11x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + 5.5x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 5.5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 5.5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5.5x + x2 = 0 + -4 5.5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 5.5x + x2 = -4 The x term is 5.5x. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x + 7.5625 + x2 = -4 + 7.5625 Reorder the terms: 7.5625 + 5.5x + x2 = -4 + 7.5625 Combine like terms: -4 + 7.5625 = 3.5625 7.5625 + 5.5x + x2 = 3.5625 Factor a perfect square on the left side: (x + 2.75)(x + 2.75) = 3.5625 Calculate the square root of the right side: 1.887458609 Break this problem into two subproblems by setting (x + 2.75) equal to 1.887458609 and -1.887458609.Subproblem 1
x + 2.75 = 1.887458609 Simplifying x + 2.75 = 1.887458609 Reorder the terms: 2.75 + x = 1.887458609 Solving 2.75 + x = 1.887458609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + x = 1.887458609 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + x = 1.887458609 + -2.75 x = 1.887458609 + -2.75 Combine like terms: 1.887458609 + -2.75 = -0.862541391 x = -0.862541391 Simplifying x = -0.862541391Subproblem 2
x + 2.75 = -1.887458609 Simplifying x + 2.75 = -1.887458609 Reorder the terms: 2.75 + x = -1.887458609 Solving 2.75 + x = -1.887458609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + x = -1.887458609 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + x = -1.887458609 + -2.75 x = -1.887458609 + -2.75 Combine like terms: -1.887458609 + -2.75 = -4.637458609 x = -4.637458609 Simplifying x = -4.637458609Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.862541391, -4.637458609}Solution
x = {-0.862541391, -4.637458609}
| 8x-12=52 | | 2x+6=x+19 | | 9x-23=58 | | 24x^4-54x=12x^3-27x | | 24x^4-54x^2-12x^3+27x=0 | | 156-3x=6x+21 | | 35-3c=6c+3.5 | | 12-2h=14h-36 | | 107-5x=22x+20 | | 8g-9=5g+12 | | 4p-3=2p+9 | | 109-7x=11+17 | | 3n+5=8n+1 | | 2m+7=3m-18 | | 5(2a-3)-2(a+1)= | | X^6-5x^3+6=0 | | 3(n+5)+6(4n-1)= | | ax^2+8x+32=0 | | 3t(2t-7)= | | 85=15x^2 | | 18-2(x+3)= | | (8+4)*5+10-18+7+5*(7+1*4)+6= | | 4x-4x(4x-4x)= | | 4x^2-1=8x | | 7x-97=4x-13 | | 211-4x=32x+19 | | logy=1.6 | | 2x+x+400+2x=5000 | | x(x-20)=525 | | 75-2x=2x+19 | | -16-2x=-10x | | 3(x-2)-5(3-4x)=29-2x |