(4x+9)(2x+8x+1)=

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Solution for (4x+9)(2x+8x+1)= equation:


Simplifying
(4x + 9)(2x + 8x + 1) = 0

Reorder the terms:
(9 + 4x)(2x + 8x + 1) = 0

Reorder the terms:
(9 + 4x)(1 + 2x + 8x) = 0

Combine like terms: 2x + 8x = 10x
(9 + 4x)(1 + 10x) = 0

Multiply (9 + 4x) * (1 + 10x)
(9(1 + 10x) + 4x * (1 + 10x)) = 0
((1 * 9 + 10x * 9) + 4x * (1 + 10x)) = 0
((9 + 90x) + 4x * (1 + 10x)) = 0
(9 + 90x + (1 * 4x + 10x * 4x)) = 0
(9 + 90x + (4x + 40x2)) = 0

Combine like terms: 90x + 4x = 94x
(9 + 94x + 40x2) = 0

Solving
9 + 94x + 40x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 4x)(1 + 10x) = 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 '(1 + 10x)' equal to zero and attempt to solve: Simplifying 1 + 10x = 0 Solving 1 + 10x = 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 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1

Solution

x = {-2.25, -0.1}

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