-10p(-14p)+16p=16

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Solution for -10p(-14p)+16p=16 equation: 


Simplifying
-10p(-14p) + 16p = 16

Remove parenthesis around (-14p)
-10p * -14p + 16p = 16

Reorder the terms for easier multiplication:
-10 * -14p * p + 16p = 16

Multiply -10 * -14
140p * p + 16p = 16

Multiply p * p
140p2 + 16p = 16

Reorder the terms:
16p + 140p2 = 16

Solving
16p + 140p2 = 16

Solving for variable 'p'.

Reorder the terms:
-16 + 16p + 140p2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 16p + 140p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + 4p + 35p2) = 0

Factor a trinomial.
4((-2 + -5p)(2 + -7p)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + -5p)' equal to zero and attempt to solve:

Simplifying
-2 + -5p = 0

Solving
-2 + -5p = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5p = 0 + 2
-5p = 0 + 2

Combine like terms: 0 + 2 = 2
-5p = 2

Divide each side by '-5'.
p = -0.4

Simplifying
p = -0.4

Subproblem 2
Set the factor '(2 + -7p)' equal to zero and attempt to solve:

Simplifying
2 + -7p = 0

Solving
2 + -7p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7p = 0 + -2
-7p = 0 + -2

Combine like terms: 0 + -2 = -2
-7p = -2

Divide each side by '-7'.
p = 0.2857142857

Simplifying
p = 0.2857142857
Solution
p = {-0.4, 0.2857142857}

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