If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7z2 + -48z + -834 = 0 Reorder the terms: -834 + -48z + 7z2 = 0 Solving -834 + -48z + 7z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -119.1428571 + -6.857142857z + z2 = 0 Move the constant term to the right: Add '119.1428571' to each side of the equation. -119.1428571 + -6.857142857z + 119.1428571 + z2 = 0 + 119.1428571 Reorder the terms: -119.1428571 + 119.1428571 + -6.857142857z + z2 = 0 + 119.1428571 Combine like terms: -119.1428571 + 119.1428571 = 0.0000000 0.0000000 + -6.857142857z + z2 = 0 + 119.1428571 -6.857142857z + z2 = 0 + 119.1428571 Combine like terms: 0 + 119.1428571 = 119.1428571 -6.857142857z + z2 = 119.1428571 The z term is -6.857142857z. Take half its coefficient (-3.428571429). Square it (11.75510204) and add it to both sides. Add '11.75510204' to each side of the equation. -6.857142857z + 11.75510204 + z2 = 119.1428571 + 11.75510204 Reorder the terms: 11.75510204 + -6.857142857z + z2 = 119.1428571 + 11.75510204 Combine like terms: 119.1428571 + 11.75510204 = 130.89795914 11.75510204 + -6.857142857z + z2 = 130.89795914 Factor a perfect square on the left side: (z + -3.428571429)(z + -3.428571429) = 130.89795914 Calculate the square root of the right side: 11.441064598 Break this problem into two subproblems by setting (z + -3.428571429) equal to 11.441064598 and -11.441064598.Subproblem 1
z + -3.428571429 = 11.441064598 Simplifying z + -3.428571429 = 11.441064598 Reorder the terms: -3.428571429 + z = 11.441064598 Solving -3.428571429 + z = 11.441064598 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3.428571429' to each side of the equation. -3.428571429 + 3.428571429 + z = 11.441064598 + 3.428571429 Combine like terms: -3.428571429 + 3.428571429 = 0.000000000 0.000000000 + z = 11.441064598 + 3.428571429 z = 11.441064598 + 3.428571429 Combine like terms: 11.441064598 + 3.428571429 = 14.869636027 z = 14.869636027 Simplifying z = 14.869636027Subproblem 2
z + -3.428571429 = -11.441064598 Simplifying z + -3.428571429 = -11.441064598 Reorder the terms: -3.428571429 + z = -11.441064598 Solving -3.428571429 + z = -11.441064598 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3.428571429' to each side of the equation. -3.428571429 + 3.428571429 + z = -11.441064598 + 3.428571429 Combine like terms: -3.428571429 + 3.428571429 = 0.000000000 0.000000000 + z = -11.441064598 + 3.428571429 z = -11.441064598 + 3.428571429 Combine like terms: -11.441064598 + 3.428571429 = -8.012493169 z = -8.012493169 Simplifying z = -8.012493169Solution
The solution to the problem is based on the solutions from the subproblems. z = {14.869636027, -8.012493169}
| 39-4z=4 | | 155=6(x)-3+4(x) | | 30(4x-7)-88x=-7(11-5x)-3x-133 | | -14+12= | | 2y^2-15y-297=0 | | 27-4x=11 | | 6(4x-5)=2x-2(11-6x) | | 5x+5=-4-10x | | 102-4x=4x+16 | | -10x-4=5-9x | | (4+7)x=9x | | 10x-4x+8=6x+7 | | 6x+2=10-2x | | x+(x+4)+(2x+4)=180 | | 3+9x=99 | | 2-y=28 | | y^2-9y+81=0 | | 2y^2-12y+10=0 | | 3x+9x+2=8+18 | | 8x+22=2x+148 | | 102=2(6+2x)+2(x) | | 10x+5-3x+10=70+8 | | 175-7x=20x+22 | | -9x+3x-8=-20 | | 8(y+9)=10y-2y-5 | | y=x^2-7x+18 | | 10+8x+3=-19 | | 12-6i+7x=-5+16i+10yi | | 8(y+9)=10-2y-5 | | 2(5x-2)=11x | | 8y+72=8y-5 | | x^3+8x^2-9x=0 |