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

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


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

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

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

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

Combine like terms: -14x + -6x = -20x
(6 + -20x + 14x2) = 0

Solving
6 + -20x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -10x + 7x2) = 0

Factor a trinomial.
2((3 + -7x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286

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 = {0.4285714286, 1}

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