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

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


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

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

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

Multiply (7 + 4x) * (-9 + 7x)
(7(-9 + 7x) + 4x * (-9 + 7x)) = 0
((-9 * 7 + 7x * 7) + 4x * (-9 + 7x)) = 0
((-63 + 49x) + 4x * (-9 + 7x)) = 0
(-63 + 49x + (-9 * 4x + 7x * 4x)) = 0
(-63 + 49x + (-36x + 28x2)) = 0

Combine like terms: 49x + -36x = 13x
(-63 + 13x + 28x2) = 0

Solving
-63 + 13x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -4x)(9 + -7x) = 0

Subproblem 1

Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 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 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75

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 = {-1.75, 1.285714286}

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