(3-2x)(-7x+2)=

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Solution for (3-2x)(-7x+2)= equation:


Simplifying
(3 + -2x)(-7x + 2) = 0

Reorder the terms:
(3 + -2x)(2 + -7x) = 0

Multiply (3 + -2x) * (2 + -7x)
(3(2 + -7x) + -2x * (2 + -7x)) = 0
((2 * 3 + -7x * 3) + -2x * (2 + -7x)) = 0
((6 + -21x) + -2x * (2 + -7x)) = 0
(6 + -21x + (2 * -2x + -7x * -2x)) = 0
(6 + -21x + (-4x + 14x2)) = 0

Combine like terms: -21x + -4x = -25x
(6 + -25x + 14x2) = 0

Solving
6 + -25x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -7x)(3 + -2x) = 0

Subproblem 1

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {0.2857142857, 1.5}

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