140x^2-64x-256=0

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Solution for 140x^2-64x-256=0 equation:


Simplifying
140x2 + -64x + -256 = 0

Reorder the terms:
-256 + -64x + 140x2 = 0

Solving
-256 + -64x + 140x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-64 + -16x + 35x2) = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143

Subproblem 2

Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6

Solution

x = {-1.142857143, 1.6}

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