If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7w2 + 12w = 8w + 9 Reorder the terms: 12w + 7w2 = 8w + 9 Reorder the terms: 12w + 7w2 = 9 + 8w Solving 12w + 7w2 = 9 + 8w Solving for variable 'w'. Reorder the terms: -9 + 12w + -8w + 7w2 = 9 + 8w + -9 + -8w Combine like terms: 12w + -8w = 4w -9 + 4w + 7w2 = 9 + 8w + -9 + -8w Reorder the terms: -9 + 4w + 7w2 = 9 + -9 + 8w + -8w Combine like terms: 9 + -9 = 0 -9 + 4w + 7w2 = 0 + 8w + -8w -9 + 4w + 7w2 = 8w + -8w Combine like terms: 8w + -8w = 0 -9 + 4w + 7w2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -1.285714286 + 0.5714285714w + w2 = 0 Move the constant term to the right: Add '1.285714286' to each side of the equation. -1.285714286 + 0.5714285714w + 1.285714286 + w2 = 0 + 1.285714286 Reorder the terms: -1.285714286 + 1.285714286 + 0.5714285714w + w2 = 0 + 1.285714286 Combine like terms: -1.285714286 + 1.285714286 = 0.000000000 0.000000000 + 0.5714285714w + w2 = 0 + 1.285714286 0.5714285714w + w2 = 0 + 1.285714286 Combine like terms: 0 + 1.285714286 = 1.285714286 0.5714285714w + w2 = 1.285714286 The w term is 0.5714285714w. Take half its coefficient (0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. 0.5714285714w + 0.08163265305 + w2 = 1.285714286 + 0.08163265305 Reorder the terms: 0.08163265305 + 0.5714285714w + w2 = 1.285714286 + 0.08163265305 Combine like terms: 1.285714286 + 0.08163265305 = 1.36734693905 0.08163265305 + 0.5714285714w + w2 = 1.36734693905 Factor a perfect square on the left side: (w + 0.2857142857)(w + 0.2857142857) = 1.36734693905 Calculate the square root of the right side: 1.16933611 Break this problem into two subproblems by setting (w + 0.2857142857) equal to 1.16933611 and -1.16933611.Subproblem 1
w + 0.2857142857 = 1.16933611 Simplifying w + 0.2857142857 = 1.16933611 Reorder the terms: 0.2857142857 + w = 1.16933611 Solving 0.2857142857 + w = 1.16933611 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2857142857' to each side of the equation. 0.2857142857 + -0.2857142857 + w = 1.16933611 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + w = 1.16933611 + -0.2857142857 w = 1.16933611 + -0.2857142857 Combine like terms: 1.16933611 + -0.2857142857 = 0.8836218243 w = 0.8836218243 Simplifying w = 0.8836218243Subproblem 2
w + 0.2857142857 = -1.16933611 Simplifying w + 0.2857142857 = -1.16933611 Reorder the terms: 0.2857142857 + w = -1.16933611 Solving 0.2857142857 + w = -1.16933611 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2857142857' to each side of the equation. 0.2857142857 + -0.2857142857 + w = -1.16933611 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + w = -1.16933611 + -0.2857142857 w = -1.16933611 + -0.2857142857 Combine like terms: -1.16933611 + -0.2857142857 = -1.4550503957 w = -1.4550503957 Simplifying w = -1.4550503957Solution
The solution to the problem is based on the solutions from the subproblems. w = {0.8836218243, -1.4550503957}
| 9y-4y(y+5)=40 | | w^2+25=9 | | 14-34x=78 | | (-3)-11x= | | 4x^3-16x^2+64x+256=0 | | -2+1+3(x-1)=-4+-x-2 | | 5=31-2x | | (-3)-17(-5)= | | 6(1-2m)=-6(m+4) | | 4x-12=92 | | 3+2m=n | | 120=72+60x-12x^2 | | 15x-2=4c-13 | | 12=-4(-6c-3) | | 3x+8*x=300 | | 0.4(x-5)=0.2(10-12x)+x | | =(4r-5)(7r+2) | | 3000=9.48h-(1.1376h) | | -3(8z+6)= | | 1.2x+1=0 | | 2(x-3)-(x+1)=28 | | 15x-3(3x-3+4)=6 | | 2(w-6)=3w | | -3(4x+3)+24x=39 | | 6-y/2=4 | | 2x-2/5x-10 | | -4n-4(4n-3)=5n-4(n-3) | | -4c-3(c-12)=20 | | -9/4a=18 | | (-3)-11x=52 | | 2/5x-7=11 | | -2x-3+3x=12 |