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Simplifying ((-7x2) + 3)(x2 + -5) = 0 Reorder the terms: (3 + (-7x2))(x2 + -5) = 0 Reorder the terms: (3 + (-7x2))(-5 + x2) = 0 Multiply (3 + (-7x2)) * (-5 + x2) (3(-5 + x2) + (-7x2)(-5 + x2)) = 0 ((-5 * 3 + x2 * 3) + (-7x2)(-5 + x2)) = 0 ((-15 + 3x2) + (-7x2)(-5 + x2)) = 0 (-15 + 3x2 + (-5 * -7x2 + x2 * -7x2)) = 0 (-15 + 3x2 + (35x2 + -7x4)) = 0 Combine like terms: 3x2 + 35x2 = 38x2 (-15 + 38x2 + -7x4) = 0 Solving -15 + 38x2 + -7x4 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + x2)(3 + -7x2) = 0Subproblem 1
Set the factor '(-5 + x2)' equal to zero and attempt to solve: Simplifying -5 + x2 = 0 Solving -5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x2 = 0 + 5 x2 = 0 + 5 Combine like terms: 0 + 5 = 5 x2 = 5 Simplifying x2 = 5 Take the square root of each side: x = {-2.236067978, 2.236067978}Subproblem 2
Set the factor '(3 + -7x2)' equal to zero and attempt to solve: Simplifying 3 + -7x2 = 0 Solving 3 + -7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x2 = 0 + -3 -7x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -7x2 = -3 Divide each side by '-7'. x2 = 0.4285714286 Simplifying x2 = 0.4285714286 Take the square root of each side: x = {-0.654653671, 0.654653671}Solution
x = {-2.236067978, 2.236067978, -0.654653671, 0.654653671}
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