4x(x+7)=9x+63

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Solution for 4x(x+7)=9x+63 equation: 


Simplifying
4x(x + 7) = 9x + 63

Reorder the terms:
4x(7 + x) = 9x + 63
(7 * 4x + x * 4x) = 9x + 63
(28x + 4x2) = 9x + 63

Reorder the terms:
28x + 4x2 = 63 + 9x

Solving
28x + 4x2 = 63 + 9x

Solving for variable 'x'.

Reorder the terms:
-63 + 28x + -9x + 4x2 = 63 + 9x + -63 + -9x

Combine like terms: 28x + -9x = 19x
-63 + 19x + 4x2 = 63 + 9x + -63 + -9x

Reorder the terms:
-63 + 19x + 4x2 = 63 + -63 + 9x + -9x

Combine like terms: 63 + -63 = 0
-63 + 19x + 4x2 = 0 + 9x + -9x
-63 + 19x + 4x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-63 + 19x + 4x2 = 0

Factor a trinomial.
(-7 + -1x)(9 + -4x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {-7, 2.25}

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