If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -6p + 7 = (6p + -9)(40 + -16p) Reorder the terms: 7 + -6p = (6p + -9)(40 + -16p) Reorder the terms: 7 + -6p = (-9 + 6p)(40 + -16p) Multiply (-9 + 6p) * (40 + -16p) 7 + -6p = (-9(40 + -16p) + 6p * (40 + -16p)) 7 + -6p = ((40 * -9 + -16p * -9) + 6p * (40 + -16p)) 7 + -6p = ((-360 + 144p) + 6p * (40 + -16p)) 7 + -6p = (-360 + 144p + (40 * 6p + -16p * 6p)) 7 + -6p = (-360 + 144p + (240p + -96p2)) Combine like terms: 144p + 240p = 384p 7 + -6p = (-360 + 384p + -96p2) Solving 7 + -6p = -360 + 384p + -96p2 Solving for variable 'p'. Reorder the terms: 7 + 360 + -6p + -384p + 96p2 = -360 + 384p + -96p2 + 360 + -384p + 96p2 Combine like terms: 7 + 360 = 367 367 + -6p + -384p + 96p2 = -360 + 384p + -96p2 + 360 + -384p + 96p2 Combine like terms: -6p + -384p = -390p 367 + -390p + 96p2 = -360 + 384p + -96p2 + 360 + -384p + 96p2 Reorder the terms: 367 + -390p + 96p2 = -360 + 360 + 384p + -384p + -96p2 + 96p2 Combine like terms: -360 + 360 = 0 367 + -390p + 96p2 = 0 + 384p + -384p + -96p2 + 96p2 367 + -390p + 96p2 = 384p + -384p + -96p2 + 96p2 Combine like terms: 384p + -384p = 0 367 + -390p + 96p2 = 0 + -96p2 + 96p2 367 + -390p + 96p2 = -96p2 + 96p2 Combine like terms: -96p2 + 96p2 = 0 367 + -390p + 96p2 = 0 Begin completing the square. Divide all terms by 96 the coefficient of the squared term: Divide each side by '96'. 3.822916667 + -4.0625p + p2 = 0 Move the constant term to the right: Add '-3.822916667' to each side of the equation. 3.822916667 + -4.0625p + -3.822916667 + p2 = 0 + -3.822916667 Reorder the terms: 3.822916667 + -3.822916667 + -4.0625p + p2 = 0 + -3.822916667 Combine like terms: 3.822916667 + -3.822916667 = 0.000000000 0.000000000 + -4.0625p + p2 = 0 + -3.822916667 -4.0625p + p2 = 0 + -3.822916667 Combine like terms: 0 + -3.822916667 = -3.822916667 -4.0625p + p2 = -3.822916667 The p term is -4.0625p. Take half its coefficient (-2.03125). Square it (4.125976563) and add it to both sides. Add '4.125976563' to each side of the equation. -4.0625p + 4.125976563 + p2 = -3.822916667 + 4.125976563 Reorder the terms: 4.125976563 + -4.0625p + p2 = -3.822916667 + 4.125976563 Combine like terms: -3.822916667 + 4.125976563 = 0.303059896 4.125976563 + -4.0625p + p2 = 0.303059896 Factor a perfect square on the left side: (p + -2.03125)(p + -2.03125) = 0.303059896 Calculate the square root of the right side: 0.550508761 Break this problem into two subproblems by setting (p + -2.03125) equal to 0.550508761 and -0.550508761.Subproblem 1
p + -2.03125 = 0.550508761 Simplifying p + -2.03125 = 0.550508761 Reorder the terms: -2.03125 + p = 0.550508761 Solving -2.03125 + p = 0.550508761 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2.03125' to each side of the equation. -2.03125 + 2.03125 + p = 0.550508761 + 2.03125 Combine like terms: -2.03125 + 2.03125 = 0.00000 0.00000 + p = 0.550508761 + 2.03125 p = 0.550508761 + 2.03125 Combine like terms: 0.550508761 + 2.03125 = 2.581758761 p = 2.581758761 Simplifying p = 2.581758761Subproblem 2
p + -2.03125 = -0.550508761 Simplifying p + -2.03125 = -0.550508761 Reorder the terms: -2.03125 + p = -0.550508761 Solving -2.03125 + p = -0.550508761 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2.03125' to each side of the equation. -2.03125 + 2.03125 + p = -0.550508761 + 2.03125 Combine like terms: -2.03125 + 2.03125 = 0.00000 0.00000 + p = -0.550508761 + 2.03125 p = -0.550508761 + 2.03125 Combine like terms: -0.550508761 + 2.03125 = 1.480741239 p = 1.480741239 Simplifying p = 1.480741239Solution
The solution to the problem is based on the solutions from the subproblems. p = {2.581758761, 1.480741239}
| 8-4n=76 | | 3t^2=3 | | .6(10+5x)=2(x-1) | | 2(6m+1)= | | 4+2.2h=-37 | | x+11=3x+7 | | -6p+7=(2p-9)(40+-16p) | | -5+2d(3-5)=0 | | 9x+4=3x-26 | | (9x-4)=140 | | -3t^2-7t-14=0 | | x^2+4y=(x+6)(x-2) | | (x+4)(x)=49 | | 340=b*4 | | -18+5=-2 | | 7r^2-28=0 | | .5t+6=13 | | 5x^4+15x^2-8=0 | | 4(3z-2)=9z-2 | | .05m+10=22 | | 1-2a-3a^2=0 | | (7y-22)+(12y-7)=180 | | c-9=-4 | | 425=70*5 | | 6(-5z+12)= | | 1+3a+3a^2+a^3=0 | | -2+3x=-3+x | | X^2=338x+680 | | X-7y=-2 | | 425=X*5 | | 86=4x+30 | | -3*(4r-8)=-36 |