(9x-8)(4x-3)=0

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Solution for (9x-8)(4x-3)=0 equation:


Simplifying
(9x + -8)(4x + -3) = 0

Reorder the terms:
(-8 + 9x)(4x + -3) = 0

Reorder the terms:
(-8 + 9x)(-3 + 4x) = 0

Multiply (-8 + 9x) * (-3 + 4x)
(-8(-3 + 4x) + 9x * (-3 + 4x)) = 0
((-3 * -8 + 4x * -8) + 9x * (-3 + 4x)) = 0
((24 + -32x) + 9x * (-3 + 4x)) = 0
(24 + -32x + (-3 * 9x + 4x * 9x)) = 0
(24 + -32x + (-27x + 36x2)) = 0

Combine like terms: -32x + -27x = -59x
(24 + -59x + 36x2) = 0

Solving
24 + -59x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -4x)(8 + -9x) = 0

Subproblem 1

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Subproblem 2

Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889

Solution

x = {0.75, 0.8888888889}

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