(9x-9)(4x+1)=0

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Solution for (9x-9)(4x+1)=0 equation:


Simplifying
(9x + -9)(4x + 1) = 0

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

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

Multiply (-9 + 9x) * (1 + 4x)
(-9(1 + 4x) + 9x * (1 + 4x)) = 0
((1 * -9 + 4x * -9) + 9x * (1 + 4x)) = 0
((-9 + -36x) + 9x * (1 + 4x)) = 0
(-9 + -36x + (1 * 9x + 4x * 9x)) = 0
(-9 + -36x + (9x + 36x2)) = 0

Combine like terms: -36x + 9x = -27x
(-9 + -27x + 36x2) = 0

Solving
-9 + -27x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-1 + -3x + 4x2) = 0

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

Ignore the factor 9.

Subproblem 1

Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-0.25, 1}

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