4p(p-3)=4p-7

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Solution for 4p(p-3)=4p-7 equation: 


Simplifying
4p(p + -3) = 4p + -7

Reorder the terms:
4p(-3 + p) = 4p + -7
(-3 * 4p + p * 4p) = 4p + -7
(-12p + 4p2) = 4p + -7

Reorder the terms:
-12p + 4p2 = -7 + 4p

Solving
-12p + 4p2 = -7 + 4p

Solving for variable 'p'.

Reorder the terms:
7 + -12p + -4p + 4p2 = -7 + 4p + 7 + -4p

Combine like terms: -12p + -4p = -16p
7 + -16p + 4p2 = -7 + 4p + 7 + -4p

Reorder the terms:
7 + -16p + 4p2 = -7 + 7 + 4p + -4p

Combine like terms: -7 + 7 = 0
7 + -16p + 4p2 = 0 + 4p + -4p
7 + -16p + 4p2 = 4p + -4p

Combine like terms: 4p + -4p = 0
7 + -16p + 4p2 = 0

Factor a trinomial.
(1 + -2p)(7 + -2p) = 0


Subproblem 1
Set the factor '(1 + -2p)' equal to zero and attempt to solve:

Simplifying
1 + -2p = 0

Solving
1 + -2p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2p = 0 + -1
-2p = 0 + -1

Combine like terms: 0 + -1 = -1
-2p = -1

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5

Subproblem 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 = 3.5
Solution
p = {0.5, 3.5}

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