(3x-4)(-7x+4)=0

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Solution for (3x-4)(-7x+4)=0 equation:


Simplifying
(3x + -4)(-7x + 4) = 0

Reorder the terms:
(-4 + 3x)(-7x + 4) = 0

Reorder the terms:
(-4 + 3x)(4 + -7x) = 0

Multiply (-4 + 3x) * (4 + -7x)
(-4(4 + -7x) + 3x * (4 + -7x)) = 0
((4 * -4 + -7x * -4) + 3x * (4 + -7x)) = 0
((-16 + 28x) + 3x * (4 + -7x)) = 0
(-16 + 28x + (4 * 3x + -7x * 3x)) = 0
(-16 + 28x + (12x + -21x2)) = 0

Combine like terms: 28x + 12x = 40x
(-16 + 40x + -21x2) = 0

Solving
-16 + 40x + -21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + 3x)(4 + -7x) = 0

Subproblem 1

Set the factor '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333

Subproblem 2

Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714

Solution

x = {1.333333333, 0.5714285714}

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