If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8q2 + -4q = 7q2 + -6q + 10 Reorder the terms: -4q + 8q2 = 7q2 + -6q + 10 Reorder the terms: -4q + 8q2 = 10 + -6q + 7q2 Solving -4q + 8q2 = 10 + -6q + 7q2 Solving for variable 'q'. Reorder the terms: -10 + -4q + 6q + 8q2 + -7q2 = 10 + -6q + 7q2 + -10 + 6q + -7q2 Combine like terms: -4q + 6q = 2q -10 + 2q + 8q2 + -7q2 = 10 + -6q + 7q2 + -10 + 6q + -7q2 Combine like terms: 8q2 + -7q2 = 1q2 -10 + 2q + 1q2 = 10 + -6q + 7q2 + -10 + 6q + -7q2 Reorder the terms: -10 + 2q + 1q2 = 10 + -10 + -6q + 6q + 7q2 + -7q2 Combine like terms: 10 + -10 = 0 -10 + 2q + 1q2 = 0 + -6q + 6q + 7q2 + -7q2 -10 + 2q + 1q2 = -6q + 6q + 7q2 + -7q2 Combine like terms: -6q + 6q = 0 -10 + 2q + 1q2 = 0 + 7q2 + -7q2 -10 + 2q + 1q2 = 7q2 + -7q2 Combine like terms: 7q2 + -7q2 = 0 -10 + 2q + 1q2 = 0 Begin completing the square. Move the constant term to the right: Add '10' to each side of the equation. -10 + 2q + 10 + q2 = 0 + 10 Reorder the terms: -10 + 10 + 2q + q2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2q + q2 = 0 + 10 2q + q2 = 0 + 10 Combine like terms: 0 + 10 = 10 2q + q2 = 10 The q term is 2q. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2q + 1 + q2 = 10 + 1 Reorder the terms: 1 + 2q + q2 = 10 + 1 Combine like terms: 10 + 1 = 11 1 + 2q + q2 = 11 Factor a perfect square on the left side: (q + 1)(q + 1) = 11 Calculate the square root of the right side: 3.31662479 Break this problem into two subproblems by setting (q + 1) equal to 3.31662479 and -3.31662479.Subproblem 1
q + 1 = 3.31662479 Simplifying q + 1 = 3.31662479 Reorder the terms: 1 + q = 3.31662479 Solving 1 + q = 3.31662479 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + q = 3.31662479 + -1 Combine like terms: 1 + -1 = 0 0 + q = 3.31662479 + -1 q = 3.31662479 + -1 Combine like terms: 3.31662479 + -1 = 2.31662479 q = 2.31662479 Simplifying q = 2.31662479Subproblem 2
q + 1 = -3.31662479 Simplifying q + 1 = -3.31662479 Reorder the terms: 1 + q = -3.31662479 Solving 1 + q = -3.31662479 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + q = -3.31662479 + -1 Combine like terms: 1 + -1 = 0 0 + q = -3.31662479 + -1 q = -3.31662479 + -1 Combine like terms: -3.31662479 + -1 = -4.31662479 q = -4.31662479 Simplifying q = -4.31662479Solution
The solution to the problem is based on the solutions from the subproblems. q = {2.31662479, -4.31662479}
| 3+(2y+4)=60 | | 4x(x-13)=0 | | 114=6(4n+3) | | 5(-y+11)+3y=53 | | -26+x=-42 | | 3(2x-4)=2-5(7-x) | | X-6=2x+13 | | (6x+7)=(8x-17) | | H-8=11 | | -2x+1=2x+3 | | X/100=10,000 | | y^2-x^2=63 | | 3(12-m)=1(m-8) | | (6c+2)+(3c+4)= | | 9(3+y)=8(y-8) | | x-68=-21 | | 19u+28=5u-23+13u | | 81=5+4(3-4p) | | 3y^2+26y+12=0 | | 4n+28=60 | | 12(x+9)=x^2 | | 19u+28=5u | | 136-y=259 | | X+4=10000 | | 10v=-10+8v | | 24/3=x/2 | | 4+v=0 | | 8q^2-6q=7q^2-9q+10 | | x+9(12)=x^2 | | -10+2k=k | | -4(3m-6)=72-3(m-8) | | 30x+7=0 |