(7x+2)*(7x+2)=5x*(5x+8x-7)

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Solution for (7x+2)*(7x+2)=5x*(5x+8x-7) equation: 


Simplifying
(7x + 2)(7x + 2) = 5x(5x + 8x + -7)

Reorder the terms:
(2 + 7x)(7x + 2) = 5x(5x + 8x + -7)

Reorder the terms:
(2 + 7x)(2 + 7x) = 5x(5x + 8x + -7)

Multiply (2 + 7x) * (2 + 7x)
(2(2 + 7x) + 7x * (2 + 7x)) = 5x(5x + 8x + -7)
((2 * 2 + 7x * 2) + 7x * (2 + 7x)) = 5x(5x + 8x + -7)
((4 + 14x) + 7x * (2 + 7x)) = 5x(5x + 8x + -7)
(4 + 14x + (2 * 7x + 7x * 7x)) = 5x(5x + 8x + -7)
(4 + 14x + (14x + 49x2)) = 5x(5x + 8x + -7)

Combine like terms: 14x + 14x = 28x
(4 + 28x + 49x2) = 5x(5x + 8x + -7)

Reorder the terms:
4 + 28x + 49x2 = 5x(-7 + 5x + 8x)

Combine like terms: 5x + 8x = 13x
4 + 28x + 49x2 = 5x(-7 + 13x)
4 + 28x + 49x2 = (-7 * 5x + 13x * 5x)
4 + 28x + 49x2 = (-35x + 65x2)

Solving
4 + 28x + 49x2 = -35x + 65x2

Solving for variable 'x'.

Reorder the terms:
4 + 28x + 35x + 49x2 + -65x2 = -35x + 65x2 + 35x + -65x2

Combine like terms: 28x + 35x = 63x
4 + 63x + 49x2 + -65x2 = -35x + 65x2 + 35x + -65x2

Combine like terms: 49x2 + -65x2 = -16x2
4 + 63x + -16x2 = -35x + 65x2 + 35x + -65x2

Reorder the terms:
4 + 63x + -16x2 = -35x + 35x + 65x2 + -65x2

Combine like terms: -35x + 35x = 0
4 + 63x + -16x2 = 0 + 65x2 + -65x2
4 + 63x + -16x2 = 65x2 + -65x2

Combine like terms: 65x2 + -65x2 = 0
4 + 63x + -16x2 = 0

Factor a trinomial.
(4 + -1x)(1 + 16x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(1 + 16x)' equal to zero and attempt to solve:

Simplifying
1 + 16x = 0

Solving
1 + 16x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 16x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 16x = 0 + -1
16x = 0 + -1

Combine like terms: 0 + -1 = -1
16x = -1

Divide each side by '16'.
x = -0.0625

Simplifying
x = -0.0625
Solution
x = {4, -0.0625}

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