(5x+4)(7-8x)=0

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Solution for (5x+4)(7-8x)=0 equation:


Simplifying
(5x + 4)(7 + -8x) = 0

Reorder the terms:
(4 + 5x)(7 + -8x) = 0

Multiply (4 + 5x) * (7 + -8x)
(4(7 + -8x) + 5x * (7 + -8x)) = 0
((7 * 4 + -8x * 4) + 5x * (7 + -8x)) = 0
((28 + -32x) + 5x * (7 + -8x)) = 0
(28 + -32x + (7 * 5x + -8x * 5x)) = 0
(28 + -32x + (35x + -40x2)) = 0

Combine like terms: -32x + 35x = 3x
(28 + 3x + -40x2) = 0

Solving
28 + 3x + -40x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -8x)(4 + 5x) = 0

Subproblem 1

Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 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 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875

Subproblem 2

Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8

Solution

x = {0.875, -0.8}

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