If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6p2 + 6p = 45 Reorder the terms: 6p + 6p2 = 45 Solving 6p + 6p2 = 45 Solving for variable 'p'. Reorder the terms: -45 + 6p + 6p2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + 6p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + 2p + 2p2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-15 + 2p + 2p2)' equal to zero and attempt to solve: Simplifying -15 + 2p + 2p2 = 0 Solving -15 + 2p + 2p2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + p + p2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + p + 7.5 + p2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + p + p2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + p + p2 = 0 + 7.5 p + p2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 p + p2 = 7.5 The p term is p. 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. + 0.25 + p2 = 7.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + p2 = 7.5 + 0.25 Combine like terms: 7.5 + 0.25 = 7.75 1.25 + p2 = 7.75 Factor a perfect square on the left side: (p + 0.5)(p + 0.5) = 7.75 Calculate the square root of the right side: 2.783882181 Break this problem into two subproblems by setting (p + 0.5) equal to 2.783882181 and -2.783882181.Subproblem 1
p + 0.5 = 2.783882181 Simplifying p + 0.5 = 2.783882181 Reorder the terms: 0.5 + p = 2.783882181 Solving 0.5 + p = 2.783882181 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + p = 2.783882181 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + p = 2.783882181 + -0.5 p = 2.783882181 + -0.5 Combine like terms: 2.783882181 + -0.5 = 2.283882181 p = 2.283882181 Simplifying p = 2.283882181Subproblem 2
p + 0.5 = -2.783882181 Simplifying p + 0.5 = -2.783882181 Reorder the terms: 0.5 + p = -2.783882181 Solving 0.5 + p = -2.783882181 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + p = -2.783882181 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + p = -2.783882181 + -0.5 p = -2.783882181 + -0.5 Combine like terms: -2.783882181 + -0.5 = -3.283882181 p = -3.283882181 Simplifying p = -3.283882181Solution
The solution to the problem is based on the solutions from the subproblems. p = {2.283882181, -3.283882181}Solution
p = {2.283882181, -3.283882181}
| -8(-12y)= | | 7q+16=-3 | | 2+6x=62 | | 8-9=4 | | 1.2x^2+7.5=6x | | d(d+5)+e(-3+1)= | | x^2+14x+49=40 | | 4(2x-3)=14 | | 20x-15=55 | | x(3x-y)+xy= | | 1.2x^2+7.5x=6x | | 3(22)=x | | 2x*7=25 | | 5.2+x=x-1 | | -4k-5= | | 2z(z+4)+3(z^2-z)= | | 60-2x=40 | | -6x=x-12 | | 9x-2y=14 | | x+x=10 | | 4x+6.9=x+15 | | 5(x)=25 | | 9x-54=4x+16 | | 6+4=26 | | .5+2=7 | | 2x+68=-72 | | 2*(m+5)= | | 10+x=15.1-x | | 12x=-66-6y | | 2k^2-3+12k=k+60 | | x=3(x+-33) | | x=3(x+-33) |