0=4x^2+7x-245

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Solution for 0=4x^2+7x-245 equation:


Simplifying
0 = 4x2 + 7x + -245

Reorder the terms:
0 = -245 + 7x + 4x2

Solving
0 = -245 + 7x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 245 = 245
245 + -7x + -4x2 = -245 + 7x + 4x2 + 245 + -7x + -4x2

Reorder the terms:
245 + -7x + -4x2 = -245 + 245 + 7x + -7x + 4x2 + -4x2

Combine like terms: -245 + 245 = 0
245 + -7x + -4x2 = 0 + 7x + -7x + 4x2 + -4x2
245 + -7x + -4x2 = 7x + -7x + 4x2 + -4x2

Combine like terms: 7x + -7x = 0
245 + -7x + -4x2 = 0 + 4x2 + -4x2
245 + -7x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
245 + -7x + -4x2 = 0

Factor a trinomial.
(7 + -1x)(35 + 4x) = 0

Subproblem 1

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Subproblem 2

Set the factor '(35 + 4x)' equal to zero and attempt to solve: Simplifying 35 + 4x = 0 Solving 35 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 4x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 0 + -35 4x = 0 + -35 Combine like terms: 0 + -35 = -35 4x = -35 Divide each side by '4'. x = -8.75 Simplifying x = -8.75

Solution

x = {7, -8.75}

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