If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + -11x + -14 = -5x2 + 30x + -30 Reorder the terms: -14 + -11x + 3x2 = -5x2 + 30x + -30 Reorder the terms: -14 + -11x + 3x2 = -30 + 30x + -5x2 Solving -14 + -11x + 3x2 = -30 + 30x + -5x2 Solving for variable 'x'. Reorder the terms: -14 + 30 + -11x + -30x + 3x2 + 5x2 = -30 + 30x + -5x2 + 30 + -30x + 5x2 Combine like terms: -14 + 30 = 16 16 + -11x + -30x + 3x2 + 5x2 = -30 + 30x + -5x2 + 30 + -30x + 5x2 Combine like terms: -11x + -30x = -41x 16 + -41x + 3x2 + 5x2 = -30 + 30x + -5x2 + 30 + -30x + 5x2 Combine like terms: 3x2 + 5x2 = 8x2 16 + -41x + 8x2 = -30 + 30x + -5x2 + 30 + -30x + 5x2 Reorder the terms: 16 + -41x + 8x2 = -30 + 30 + 30x + -30x + -5x2 + 5x2 Combine like terms: -30 + 30 = 0 16 + -41x + 8x2 = 0 + 30x + -30x + -5x2 + 5x2 16 + -41x + 8x2 = 30x + -30x + -5x2 + 5x2 Combine like terms: 30x + -30x = 0 16 + -41x + 8x2 = 0 + -5x2 + 5x2 16 + -41x + 8x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 16 + -41x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2 + -5.125x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -5.125x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -5.125x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5.125x + x2 = 0 + -2 -5.125x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5.125x + x2 = -2 The x term is -5.125x. Take half its coefficient (-2.5625). Square it (6.56640625) and add it to both sides. Add '6.56640625' to each side of the equation. -5.125x + 6.56640625 + x2 = -2 + 6.56640625 Reorder the terms: 6.56640625 + -5.125x + x2 = -2 + 6.56640625 Combine like terms: -2 + 6.56640625 = 4.56640625 6.56640625 + -5.125x + x2 = 4.56640625 Factor a perfect square on the left side: (x + -2.5625)(x + -2.5625) = 4.56640625 Calculate the square root of the right side: 2.136915125 Break this problem into two subproblems by setting (x + -2.5625) equal to 2.136915125 and -2.136915125.Subproblem 1
x + -2.5625 = 2.136915125 Simplifying x + -2.5625 = 2.136915125 Reorder the terms: -2.5625 + x = 2.136915125 Solving -2.5625 + x = 2.136915125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5625' to each side of the equation. -2.5625 + 2.5625 + x = 2.136915125 + 2.5625 Combine like terms: -2.5625 + 2.5625 = 0.0000 0.0000 + x = 2.136915125 + 2.5625 x = 2.136915125 + 2.5625 Combine like terms: 2.136915125 + 2.5625 = 4.699415125 x = 4.699415125 Simplifying x = 4.699415125Subproblem 2
x + -2.5625 = -2.136915125 Simplifying x + -2.5625 = -2.136915125 Reorder the terms: -2.5625 + x = -2.136915125 Solving -2.5625 + x = -2.136915125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5625' to each side of the equation. -2.5625 + 2.5625 + x = -2.136915125 + 2.5625 Combine like terms: -2.5625 + 2.5625 = 0.0000 0.0000 + x = -2.136915125 + 2.5625 x = -2.136915125 + 2.5625 Combine like terms: -2.136915125 + 2.5625 = 0.425584875 x = 0.425584875 Simplifying x = 0.425584875Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.699415125, 0.425584875}
| 5a+2.4=4 | | 6x^2-11x-55=0 | | 3[x-1]+2=8 | | x+13=25-19 | | 7.5-.15b+.4b=15 | | 5ln(7x-4)+9=4 | | 4x-14=6x-2 | | .05x-.3=1.8 | | 0.12x=1.56 | | 0=4x-6x | | -[4-8p]=56 | | 2(4x-15)=-3(-x+5)-10 | | 8.5-3z=-8x | | .75x=63.75 | | 11n+6=5 | | 1-4m=25 | | U-vw=5x | | 5d+15=3d-5 | | 2x-5y+6=o | | C=39.15+0.50x | | 2n-3=-17 | | -22x-48+48x^2=0 | | 5(2x+8)=-35 | | 17-4y=5 | | 2m-10=60 | | -x+2(7x+18)=-9 | | -2[5-3a]=56 | | (2+2j)(3-2j)= | | -4+5p=-24 | | -x+2(7x+16)=-9 | | 13q-27q= | | 13b=65 |