(7-2x)*(2x-9)=0

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Solution for (7-2x)*(2x-9)=0 equation:


Simplifying
(7 + -2x)(2x + -9) = 0

Reorder the terms:
(7 + -2x)(-9 + 2x) = 0

Multiply (7 + -2x) * (-9 + 2x)
(7(-9 + 2x) + -2x * (-9 + 2x)) = 0
((-9 * 7 + 2x * 7) + -2x * (-9 + 2x)) = 0
((-63 + 14x) + -2x * (-9 + 2x)) = 0
(-63 + 14x + (-9 * -2x + 2x * -2x)) = 0
(-63 + 14x + (18x + -4x2)) = 0

Combine like terms: 14x + 18x = 32x
(-63 + 32x + -4x2) = 0

Solving
-63 + 32x + -4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + 2x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-9 + 2x)' equal to zero and attempt to solve:

Simplifying
-9 + 2x = 0

Solving
-9 + 2x = 0

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

Add '9' to each side of the equation.
-9 + 9 + 2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 0 + 9
2x = 0 + 9

Combine like terms: 0 + 9 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {4.5, 3.5}

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