If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -5q2 + q + 29 = 0 Reorder the terms: 29 + q + -5q2 = 0 Solving 29 + q + -5q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. -5.8 + -0.2q + q2 = 0 Move the constant term to the right: Add '5.8' to each side of the equation. -5.8 + -0.2q + 5.8 + q2 = 0 + 5.8 Reorder the terms: -5.8 + 5.8 + -0.2q + q2 = 0 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + -0.2q + q2 = 0 + 5.8 -0.2q + q2 = 0 + 5.8 Combine like terms: 0 + 5.8 = 5.8 -0.2q + q2 = 5.8 The q term is q. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.2q + 0.25 + q2 = 5.8 + 0.25 Reorder the terms: 0.25 + -0.2q + q2 = 5.8 + 0.25 Combine like terms: 5.8 + 0.25 = 6.05 0.25 + -0.2q + q2 = 6.05 Factor a perfect square on the left side: (q + 0.5)(q + 0.5) = 6.05 Calculate the square root of the right side: 2.459674775 Break this problem into two subproblems by setting (q + 0.5) equal to 2.459674775 and -2.459674775.Subproblem 1
q + 0.5 = 2.459674775 Simplifying q + 0.5 = 2.459674775 Reorder the terms: 0.5 + q = 2.459674775 Solving 0.5 + q = 2.459674775 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + q = 2.459674775 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + q = 2.459674775 + -0.5 q = 2.459674775 + -0.5 Combine like terms: 2.459674775 + -0.5 = 1.959674775 q = 1.959674775 Simplifying q = 1.959674775Subproblem 2
q + 0.5 = -2.459674775 Simplifying q + 0.5 = -2.459674775 Reorder the terms: 0.5 + q = -2.459674775 Solving 0.5 + q = -2.459674775 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + q = -2.459674775 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + q = -2.459674775 + -0.5 q = -2.459674775 + -0.5 Combine like terms: -2.459674775 + -0.5 = -2.959674775 q = -2.959674775 Simplifying q = -2.959674775Solution
The solution to the problem is based on the solutions from the subproblems. q = {1.959674775, -2.959674775}
| -3x+19+6x=4(2x-9) | | 8-4w=.333(6w-12) | | (z+2)(z+4)= | | (c-1)(c^2-25)=0 | | 2(6d+3)=18-3(16-13d) | | 180=-4x+7x | | (3z+1)(z+7)= | | 3y-18-5y=2 | | .16(6y+7)= | | 180=4+7x | | (z+6)(z-6)= | | x=180-9x+12 | | -4+5x=-19 | | 4x^2-4xy-3x-3y=0 | | 8x^2-7x-6=0 | | 14.42+13.2m=-19.36-6.96+11.1m | | b-28=0 | | (z+8)(z-7)= | | 3q^2+8q-35=0 | | 289/9= | | 5a-4(3a+7)=21 | | 3x+9=10x-5 | | (x+3)(x+3)= | | 10z-4=2(5z-2) | | 5q^2+13q-60=0 | | -1+14j=20j-7 | | x^2-5x+25=0 | | 2(x+3)+3x=-4 | | 1.9q-1.9-2.3q=-1.4q-3.5 | | -x^2+4x-20=0 | | 3z+1=5z+19 | | 4x/3-8=4 |