If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5(2p + -4)(p + 5) = 25 Reorder the terms: 5(-4 + 2p)(p + 5) = 25 Reorder the terms: 5(-4 + 2p)(5 + p) = 25 Multiply (-4 + 2p) * (5 + p) 5(-4(5 + p) + 2p * (5 + p)) = 25 5((5 * -4 + p * -4) + 2p * (5 + p)) = 25 5((-20 + -4p) + 2p * (5 + p)) = 25 5(-20 + -4p + (5 * 2p + p * 2p)) = 25 5(-20 + -4p + (10p + 2p2)) = 25 Combine like terms: -4p + 10p = 6p 5(-20 + 6p + 2p2) = 25 (-20 * 5 + 6p * 5 + 2p2 * 5) = 25 (-100 + 30p + 10p2) = 25 Solving -100 + 30p + 10p2 = 25 Solving for variable 'p'. Reorder the terms: -100 + -25 + 30p + 10p2 = 25 + -25 Combine like terms: -100 + -25 = -125 -125 + 30p + 10p2 = 25 + -25 Combine like terms: 25 + -25 = 0 -125 + 30p + 10p2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-25 + 6p + 2p2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-25 + 6p + 2p2)' equal to zero and attempt to solve: Simplifying -25 + 6p + 2p2 = 0 Solving -25 + 6p + 2p2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -12.5 + 3p + p2 = 0 Move the constant term to the right: Add '12.5' to each side of the equation. -12.5 + 3p + 12.5 + p2 = 0 + 12.5 Reorder the terms: -12.5 + 12.5 + 3p + p2 = 0 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + 3p + p2 = 0 + 12.5 3p + p2 = 0 + 12.5 Combine like terms: 0 + 12.5 = 12.5 3p + p2 = 12.5 The p term is 3p. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3p + 2.25 + p2 = 12.5 + 2.25 Reorder the terms: 2.25 + 3p + p2 = 12.5 + 2.25 Combine like terms: 12.5 + 2.25 = 14.75 2.25 + 3p + p2 = 14.75 Factor a perfect square on the left side: (p + 1.5)(p + 1.5) = 14.75 Calculate the square root of the right side: 3.840572874 Break this problem into two subproblems by setting (p + 1.5) equal to 3.840572874 and -3.840572874.Subproblem 1
p + 1.5 = 3.840572874 Simplifying p + 1.5 = 3.840572874 Reorder the terms: 1.5 + p = 3.840572874 Solving 1.5 + p = 3.840572874 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + p = 3.840572874 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + p = 3.840572874 + -1.5 p = 3.840572874 + -1.5 Combine like terms: 3.840572874 + -1.5 = 2.340572874 p = 2.340572874 Simplifying p = 2.340572874Subproblem 2
p + 1.5 = -3.840572874 Simplifying p + 1.5 = -3.840572874 Reorder the terms: 1.5 + p = -3.840572874 Solving 1.5 + p = -3.840572874 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + p = -3.840572874 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + p = -3.840572874 + -1.5 p = -3.840572874 + -1.5 Combine like terms: -3.840572874 + -1.5 = -5.340572874 p = -5.340572874 Simplifying p = -5.340572874Solution
The solution to the problem is based on the solutions from the subproblems. p = {2.340572874, -5.340572874}Solution
p = {2.340572874, -5.340572874}
| x^4+x^3-25x^2-25=0 | | 13y-8(2)=2 | | 200m-125m+43425=45900-150m | | -5(x+1)-17=15+3 | | 3y-2=4y | | 2x^2+2y^2+14x+6y+2=0 | | 13y+4-3y=5y+21 | | 2x(-3y+-2x)(9)= | | 48x-24+30x-90=-13 | | 4(2g+3)-2g+3=2g+2-3(2g+2) | | 15.95j-2.16=100.44-j | | 3(t-3)=3t+5 | | 5x+4-2x=[x+8] | | 3(1+d)-5=3(w-1) | | 6x+6-8x=12-17x+15x-6 | | 17lnx=12 | | 2x+7x-9x+21x+5x= | | -1n+8.4=14.2 | | 21.63-a=-32.7 | | 3(2-x)-(6+x)=14 | | 4x^2-22=0 | | 10x+12x=36 | | 4b+2b-3=21 | | Y=1.6x+1 | | 6x+48=18 | | 3b-6=7(b+2) | | g=160-24 | | -10x-8=-8(6p-5)+10(2+4p) | | 27=6x+3y | | 2(2x+3)=6+4x | | (9x+3)=3x+1 | | 0.33x=x-4 |