(7x-9)(6x+2)=0

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Solution for (7x-9)(6x+2)=0 equation:


Simplifying
(7x + -9)(6x + 2) = 0

Reorder the terms:
(-9 + 7x)(6x + 2) = 0

Reorder the terms:
(-9 + 7x)(2 + 6x) = 0

Multiply (-9 + 7x) * (2 + 6x)
(-9(2 + 6x) + 7x * (2 + 6x)) = 0
((2 * -9 + 6x * -9) + 7x * (2 + 6x)) = 0
((-18 + -54x) + 7x * (2 + 6x)) = 0
(-18 + -54x + (2 * 7x + 6x * 7x)) = 0
(-18 + -54x + (14x + 42x2)) = 0

Combine like terms: -54x + 14x = -40x
(-18 + -40x + 42x2) = 0

Solving
-18 + -40x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -20x + 21x2) = 0

Factor a trinomial.
2((-1 + -3x)(9 + -7x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286

Solution

x = {-0.3333333333, 1.285714286}

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