If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6q2 + -2q = 7q + 36 Reorder the terms: -2q + 6q2 = 7q + 36 Reorder the terms: -2q + 6q2 = 36 + 7q Solving -2q + 6q2 = 36 + 7q Solving for variable 'q'. Reorder the terms: -36 + -2q + -7q + 6q2 = 36 + 7q + -36 + -7q Combine like terms: -2q + -7q = -9q -36 + -9q + 6q2 = 36 + 7q + -36 + -7q Reorder the terms: -36 + -9q + 6q2 = 36 + -36 + 7q + -7q Combine like terms: 36 + -36 = 0 -36 + -9q + 6q2 = 0 + 7q + -7q -36 + -9q + 6q2 = 7q + -7q Combine like terms: 7q + -7q = 0 -36 + -9q + 6q2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + -3q + 2q2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-12 + -3q + 2q2)' equal to zero and attempt to solve: Simplifying -12 + -3q + 2q2 = 0 Solving -12 + -3q + 2q2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -6 + -1.5q + q2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + -1.5q + 6 + q2 = 0 + 6 Reorder the terms: -6 + 6 + -1.5q + q2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1.5q + q2 = 0 + 6 -1.5q + q2 = 0 + 6 Combine like terms: 0 + 6 = 6 -1.5q + q2 = 6 The q term is -1.5q. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5q + 0.5625 + q2 = 6 + 0.5625 Reorder the terms: 0.5625 + -1.5q + q2 = 6 + 0.5625 Combine like terms: 6 + 0.5625 = 6.5625 0.5625 + -1.5q + q2 = 6.5625 Factor a perfect square on the left side: (q + -0.75)(q + -0.75) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (q + -0.75) equal to 2.561737691 and -2.561737691.Subproblem 1
q + -0.75 = 2.561737691 Simplifying q + -0.75 = 2.561737691 Reorder the terms: -0.75 + q = 2.561737691 Solving -0.75 + q = 2.561737691 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + q = 2.561737691 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + q = 2.561737691 + 0.75 q = 2.561737691 + 0.75 Combine like terms: 2.561737691 + 0.75 = 3.311737691 q = 3.311737691 Simplifying q = 3.311737691Subproblem 2
q + -0.75 = -2.561737691 Simplifying q + -0.75 = -2.561737691 Reorder the terms: -0.75 + q = -2.561737691 Solving -0.75 + q = -2.561737691 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + q = -2.561737691 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + q = -2.561737691 + 0.75 q = -2.561737691 + 0.75 Combine like terms: -2.561737691 + 0.75 = -1.811737691 q = -1.811737691 Simplifying q = -1.811737691Solution
The solution to the problem is based on the solutions from the subproblems. q = {3.311737691, -1.811737691}Solution
q = {3.311737691, -1.811737691}
| 4y-y^2=0 | | 5(q-3)+5=-25 | | 4(2X-5)-3X=3(X+5) | | 4(p+4)-5=-17 | | 0.3x=24 | | 5a-7=-3 | | 4.9y-2.6=-8.97 | | 1c=22+-36 | | 5y+14-8x-2y+13x= | | 8m-6=-3(2+8m) | | 9Y-y^2=0 | | (3/8-4/7)*(-4/7*7/24) | | x=2000+-20y+-100z | | 8x-2+x+12=90 | | (5x^2+6x+8)+(6x^2+9x)= | | -4x-10x=70 | | 2x^2+26x+105=0 | | (8m-9)(5m^2+m-3)= | | (4x+3)+(-5x+4)= | | 4y+8x=-1 | | x^4+3x^3-4=0 | | 5y+10=4x | | y^2-3x=12 | | 2y-1=16x | | 5x-6=3x+40 | | 7v-7+3(2v+1)=-3(v+4) | | x^4-4x^3+8x^2-8x-8x+4=0 | | 7x-3=11+3x | | 0=-17x^2+144x+160 | | (2x)+(4x)+(2x)+(4x)=40 | | (2x)(4x)=40 | | (2x)x(4x)=40 |