(x+4)(4x-2)=5(m+3)-10

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Solution for (x+4)(4x-2)=5(m+3)-10 equation:


Simplifying
(x + 4)(4x + -2) = 5(m + 3) + -10

Reorder the terms:
(4 + x)(4x + -2) = 5(m + 3) + -10

Reorder the terms:
(4 + x)(-2 + 4x) = 5(m + 3) + -10

Multiply (4 + x) * (-2 + 4x)
(4(-2 + 4x) + x(-2 + 4x)) = 5(m + 3) + -10
((-2 * 4 + 4x * 4) + x(-2 + 4x)) = 5(m + 3) + -10
((-8 + 16x) + x(-2 + 4x)) = 5(m + 3) + -10
(-8 + 16x + (-2 * x + 4x * x)) = 5(m + 3) + -10
(-8 + 16x + (-2x + 4x2)) = 5(m + 3) + -10

Combine like terms: 16x + -2x = 14x
(-8 + 14x + 4x2) = 5(m + 3) + -10

Reorder the terms:
-8 + 14x + 4x2 = 5(3 + m) + -10
-8 + 14x + 4x2 = (3 * 5 + m * 5) + -10
-8 + 14x + 4x2 = (15 + 5m) + -10

Reorder the terms:
-8 + 14x + 4x2 = 15 + -10 + 5m

Combine like terms: 15 + -10 = 5
-8 + 14x + 4x2 = 5 + 5m

Solving
-8 + 14x + 4x2 = 5 + 5m

Solving for variable 'x'.

Reorder the terms:
-8 + -5 + -5m + 14x + 4x2 = 5 + 5m + -5 + -5m

Combine like terms: -8 + -5 = -13
-13 + -5m + 14x + 4x2 = 5 + 5m + -5 + -5m

Reorder the terms:
-13 + -5m + 14x + 4x2 = 5 + -5 + 5m + -5m

Combine like terms: 5 + -5 = 0
-13 + -5m + 14x + 4x2 = 0 + 5m + -5m
-13 + -5m + 14x + 4x2 = 5m + -5m

Combine like terms: 5m + -5m = 0
-13 + -5m + 14x + 4x2 = 0

The solution to this equation could not be determined.

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