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Simplifying 4p2 + -35 = 4p Reorder the terms: -35 + 4p2 = 4p Solving -35 + 4p2 = 4p Solving for variable 'p'. Reorder the terms: -35 + -4p + 4p2 = 4p + -4p Combine like terms: 4p + -4p = 0 -35 + -4p + 4p2 = 0 Factor a trinomial. (-5 + -2p)(7 + -2p) = 0Subproblem 1
Set the factor '(-5 + -2p)' equal to zero and attempt to solve: Simplifying -5 + -2p = 0 Solving -5 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2p = 0 + 5 -2p = 0 + 5 Combine like terms: 0 + 5 = 5 -2p = 5 Divide each side by '-2'. p = -2.5 Simplifying p = -2.5Subproblem 2
Set the factor '(7 + -2p)' equal to zero and attempt to solve: Simplifying 7 + -2p = 0 Solving 7 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2p = 0 + -7 -2p = 0 + -7 Combine like terms: 0 + -7 = -7 -2p = -7 Divide each side by '-2'. p = 3.5 Simplifying p = 3.5Solution
p = {-2.5, 3.5}
| -1^-4/3 | | 12(499.67)+10(.99)= | | -10/9X^-4/3-20/9X^-1/3=0 | | 25b^2+10b=8 | | 10p+28=3-15p | | n^2-3=-2n | | 35n^2+6=31n | | 3(499.67)+.99=1500 | | (10/3)(2/3) | | 7v^2-25=30v | | -y=3x+4 | | -3(5+5n)=25-7n | | (-10/9)-(10/9) | | 5p^2=-31p-6 | | 1/3^1-1 | | (10/3)(1/3) | | 7(4m-2)=2m+38 | | a=500+-.333333333 | | (10/3)(-1/3) | | 5p^2-22p=-8 | | -8(8n+3)=-6n+39 | | -1^2/3 | | -1^-1/3 | | 4x+y^2=7 | | 3(499.67)+s=1500 | | 14-2b=6(5-b) | | 7x(5-2)-14=24-2x | | 2(x-6)=(x-14) | | 1/7×x=11 | | x^3+2x^2-36x=72 | | 499.67+s=1500 | | x=500-y |