(4x+9)(x-10)=0

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Solution for (4x+9)(x-10)=0 equation: 


Simplifying
(4x + 9)(x + -10) = 0

Reorder the terms:
(9 + 4x)(x + -10) = 0

Reorder the terms:
(9 + 4x)(-10 + x) = 0

Multiply (9 + 4x) * (-10 + x)
(9(-10 + x) + 4x * (-10 + x)) = 0
((-10 * 9 + x * 9) + 4x * (-10 + x)) = 0
((-90 + 9x) + 4x * (-10 + x)) = 0
(-90 + 9x + (-10 * 4x + x * 4x)) = 0
(-90 + 9x + (-40x + 4x2)) = 0

Combine like terms: 9x + -40x = -31x
(-90 + -31x + 4x2) = 0

Solving
-90 + -31x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -4x)(10 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-2.25, 10}

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