143=(9+2x)(7+2x)

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Solution for 143=(9+2x)(7+2x) equation: 


Simplifying
143 = (9 + 2x)(7 + 2x)

Multiply (9 + 2x) * (7 + 2x)
143 = (9(7 + 2x) + 2x * (7 + 2x))
143 = ((7 * 9 + 2x * 9) + 2x * (7 + 2x))
143 = ((63 + 18x) + 2x * (7 + 2x))
143 = (63 + 18x + (7 * 2x + 2x * 2x))
143 = (63 + 18x + (14x + 4x2))

Combine like terms: 18x + 14x = 32x
143 = (63 + 32x + 4x2)

Solving
143 = 63 + 32x + 4x2

Solving for variable 'x'.

Combine like terms: 143 + -63 = 80
80 + -32x + -4x2 = 63 + 32x + 4x2 + -63 + -32x + -4x2

Reorder the terms:
80 + -32x + -4x2 = 63 + -63 + 32x + -32x + 4x2 + -4x2

Combine like terms: 63 + -63 = 0
80 + -32x + -4x2 = 0 + 32x + -32x + 4x2 + -4x2
80 + -32x + -4x2 = 32x + -32x + 4x2 + -4x2

Combine like terms: 32x + -32x = 0
80 + -32x + -4x2 = 0 + 4x2 + -4x2
80 + -32x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
80 + -32x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(20 + -8x + -1x2) = 0

Factor a trinomial.
4((2 + -1x)(10 + x)) = 0

Ignore the factor 4.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {2, -10}

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