(9x-7)(2x+4)=0

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Solution for (9x-7)(2x+4)=0 equation:


Simplifying
(9x + -7)(2x + 4) = 0

Reorder the terms:
(-7 + 9x)(2x + 4) = 0

Reorder the terms:
(-7 + 9x)(4 + 2x) = 0

Multiply (-7 + 9x) * (4 + 2x)
(-7(4 + 2x) + 9x * (4 + 2x)) = 0
((4 * -7 + 2x * -7) + 9x * (4 + 2x)) = 0
((-28 + -14x) + 9x * (4 + 2x)) = 0
(-28 + -14x + (4 * 9x + 2x * 9x)) = 0
(-28 + -14x + (36x + 18x2)) = 0

Combine like terms: -14x + 36x = 22x
(-28 + 22x + 18x2) = 0

Solving
-28 + 22x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + 11x + 9x2) = 0

Factor a trinomial.
2((-2 + -1x)(7 + -9x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778

Solution

x = {-2, 0.7777777778}

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