(3x-7)(7x+9)=0

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Solution for (3x-7)(7x+9)=0 equation:


Simplifying
(3x + -7)(7x + 9) = 0

Reorder the terms:
(-7 + 3x)(7x + 9) = 0

Reorder the terms:
(-7 + 3x)(9 + 7x) = 0

Multiply (-7 + 3x) * (9 + 7x)
(-7(9 + 7x) + 3x * (9 + 7x)) = 0
((9 * -7 + 7x * -7) + 3x * (9 + 7x)) = 0
((-63 + -49x) + 3x * (9 + 7x)) = 0
(-63 + -49x + (9 * 3x + 7x * 3x)) = 0
(-63 + -49x + (27x + 21x2)) = 0

Combine like terms: -49x + 27x = -22x
(-63 + -22x + 21x2) = 0

Solving
-63 + -22x + 21x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333

Solution

x = {-1.285714286, 2.333333333}

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