If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -20q2 + 56q + -14 = 0 Reorder the terms: -14 + 56q + -20q2 = 0 Solving -14 + 56q + -20q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 28q + -10q2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + 28q + -10q2)' equal to zero and attempt to solve: Simplifying -7 + 28q + -10q2 = 0 Solving -7 + 28q + -10q2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.7 + -2.8q + q2 = 0.0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + -2.8q + -0.7 + q2 = 0.0 + -0.7 Reorder the terms: 0.7 + -0.7 + -2.8q + q2 = 0.0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -2.8q + q2 = 0.0 + -0.7 -2.8q + q2 = 0.0 + -0.7 Combine like terms: 0.0 + -0.7 = -0.7 -2.8q + q2 = -0.7 The q term is -2.8q. Take half its coefficient (-1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. -2.8q + 1.96 + q2 = -0.7 + 1.96 Reorder the terms: 1.96 + -2.8q + q2 = -0.7 + 1.96 Combine like terms: -0.7 + 1.96 = 1.26 1.96 + -2.8q + q2 = 1.26 Factor a perfect square on the left side: (q + -1.4)(q + -1.4) = 1.26 Calculate the square root of the right side: 1.122497216 Break this problem into two subproblems by setting (q + -1.4) equal to 1.122497216 and -1.122497216.Subproblem 1
q + -1.4 = 1.122497216 Simplifying q + -1.4 = 1.122497216 Reorder the terms: -1.4 + q = 1.122497216 Solving -1.4 + q = 1.122497216 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + q = 1.122497216 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + q = 1.122497216 + 1.4 q = 1.122497216 + 1.4 Combine like terms: 1.122497216 + 1.4 = 2.522497216 q = 2.522497216 Simplifying q = 2.522497216Subproblem 2
q + -1.4 = -1.122497216 Simplifying q + -1.4 = -1.122497216 Reorder the terms: -1.4 + q = -1.122497216 Solving -1.4 + q = -1.122497216 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + q = -1.122497216 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + q = -1.122497216 + 1.4 q = -1.122497216 + 1.4 Combine like terms: -1.122497216 + 1.4 = 0.277502784 q = 0.277502784 Simplifying q = 0.277502784Solution
The solution to the problem is based on the solutions from the subproblems. q = {2.522497216, 0.277502784}Solution
q = {2.522497216, 0.277502784}
| x+-2y=-6 | | 2(2d+4)=4(2d+7) | | 4n-2n=-4 | | 7x-3x+7=3(x-40)+20 | | 2(x+-6)=21 | | 15+1.25m=25 | | 4-8=2x | | -4(1-4m)=-116 | | -5n-4(-7-4n)=35+7n | | -5(x+2)+3x+5=7x+1 | | 2x=-38 | | (f-6)=(f+8) | | -14m^2+13m-3= | | (b+a)x=-a-b | | -3(5x-7)=-99 | | y-24=-2y | | -2(4a+5)3a=18 | | 4(2x+11)=3(x-2) | | (n)(n+1)=35 | | 2(4)+1+3(4)+21=9(4)+6 | | -6x-2(5x+26)=44 | | -5(x+2)+3x+5=7v+1 | | -12=2k-3k | | 30-2x=-75-9x | | 5x+7-9x-5=-10 | | 5r-3(3r+6)=24 | | 79x+20x=400+20x | | 7f=7 | | 0.3(y+2)=0.4(y-4) | | -7x+8=x+104 | | z^2-14=z+7 | | rx=z-sy |