0=14x^2-15x+4

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Solution for 0=14x^2-15x+4 equation:


Simplifying
0 = 14x2 + -15x + 4

Reorder the terms:
0 = 4 + -15x + 14x2

Solving
0 = 4 + -15x + 14x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + 15x + -14x2 = 4 + -15x + 14x2 + -4 + 15x + -14x2

Reorder the terms:
-4 + 15x + -14x2 = 4 + -4 + -15x + 15x + 14x2 + -14x2

Combine like terms: 4 + -4 = 0
-4 + 15x + -14x2 = 0 + -15x + 15x + 14x2 + -14x2
-4 + 15x + -14x2 = -15x + 15x + 14x2 + -14x2

Combine like terms: -15x + 15x = 0
-4 + 15x + -14x2 = 0 + 14x2 + -14x2
-4 + 15x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-4 + 15x + -14x2 = 0

Factor a trinomial.
(-4 + 7x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-4 + 7x)' equal to zero and attempt to solve: Simplifying -4 + 7x = 0 Solving -4 + 7x = 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 + 7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 0 + 4 7x = 0 + 4 Combine like terms: 0 + 4 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {0.5714285714, 0.5}

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