(2x^2-4x)(7x+2)=

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Solution for (2x^2-4x)(7x+2)= equation:


Simplifying
(2x2 + -4x)(7x + 2) = 0

Reorder the terms:
(-4x + 2x2)(7x + 2) = 0

Reorder the terms:
(-4x + 2x2)(2 + 7x) = 0

Multiply (-4x + 2x2) * (2 + 7x)
(-4x * (2 + 7x) + 2x2 * (2 + 7x)) = 0
((2 * -4x + 7x * -4x) + 2x2 * (2 + 7x)) = 0
((-8x + -28x2) + 2x2 * (2 + 7x)) = 0
(-8x + -28x2 + (2 * 2x2 + 7x * 2x2)) = 0
(-8x + -28x2 + (4x2 + 14x3)) = 0

Combine like terms: -28x2 + 4x2 = -24x2
(-8x + -24x2 + 14x3) = 0

Solving
-8x + -24x2 + 14x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4 + -12x + 7x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

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 3

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0, -0.2857142857, 2}

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