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Simplifying H(x) = 2(x + -7)(x + 5) Multiply H * x xH = 2(x + -7)(x + 5) Reorder the terms: xH = 2(-7 + x)(x + 5) Reorder the terms: xH = 2(-7 + x)(5 + x) Multiply (-7 + x) * (5 + x) xH = 2(-7(5 + x) + x(5 + x)) xH = 2((5 * -7 + x * -7) + x(5 + x)) xH = 2((-35 + -7x) + x(5 + x)) xH = 2(-35 + -7x + (5 * x + x * x)) xH = 2(-35 + -7x + (5x + x2)) Combine like terms: -7x + 5x = -2x xH = 2(-35 + -2x + x2) xH = (-35 * 2 + -2x * 2 + x2 * 2) xH = (-70 + -4x + 2x2) Solving xH = -70 + -4x + 2x2 Solving for variable 'x'. Reorder the terms: 70 + 4x + xH + -2x2 = -70 + -4x + 2x2 + 70 + 4x + -2x2 Reorder the terms: 70 + 4x + xH + -2x2 = -70 + 70 + -4x + 4x + 2x2 + -2x2 Combine like terms: -70 + 70 = 0 70 + 4x + xH + -2x2 = 0 + -4x + 4x + 2x2 + -2x2 70 + 4x + xH + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 70 + 4x + xH + -2x2 = 0 + 2x2 + -2x2 70 + 4x + xH + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 70 + 4x + xH + -2x2 = 0 The solution to this equation could not be determined.
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